Question 1 :
If the radius of a sphere is doubled then the volume of a sphere becomes
Question 2 :
The radius of a sphere is 3 cm its volume is
Question 3 :
The sum of the radius and the height of a solid cylinder is 37 cm If the total surface area of the solid is 1628 cm$$\displaystyle ^{2}$$ find the circumference of the base and the volume of the solid
Question 4 :
The radius of a sphere of lead is $$8$$cm. The number of spheres of radius $$5$$mm made by melting it will be
Question 5 :
If the volume of right cylinder with radius $$2$$ cm is $$\displaystyle 100\pi\  { cm }^{ 3 }$$, then the height of cylinder (in cm) is
Question 6 :
The circumference of a 1 cm thick pipe is 44 cm The level of water that 7 cm of pipe can hold is
Question 7 :
A cylinder with base radius of $$8$$cm and height of $$2$$cm is melted to form a cone of height $$6$$cm. The radius of the cone will be ________.
Question 8 :
A cylinder and a cone have the same height and same radius of the base. The ratio of the volumes of the cylinder to that of the cone is ________.
Question 9 :
Two cones have their heights in the ratio 1:3 and their radii in the ratio 3:1 Find the ratio of their volumes
Question 11 :
A right triangle with sides 5 cm 12 cm and 13 cm is revolved about the side 12 cm Find the volume of the cone thus formed
Question 12 :
In a right circular cone, the cross-section made by a plane parallel to the base is a <br/>
Question 13 :
The radii of two spheres are in the ratio 3:5 The ratio of their volumes is
Question 14 :
If the circumference of the inner edge of a hemispherical bowl is $$\dfrac {132}{7} cm$$, then what is its capacity?
Question 15 :
Area of canvas needed to erect a right conical tent of height 12 m and a circular base having circumference$$\displaystyle 10\pi $$ m is
Question 16 :
If the radii of a cone and a cylinder are in the ratio 2 : 3 ad their heights are in the ratio 4 : 3 then the ratio of their volumes will be
Question 17 :
What is the number of spherical balls of 2.5 mm diameter that can be obtained by melting a semicircular disc of 8 cm diameter and 2 cm thickness?
Question 18 :
Find the volume of a hemisphere of radius $$6.3 \ cm$$ ($$\displaystyle \pi =22/7$$)
Question 19 :
The crossection of a canal is a trapezium. The breadths of the top and bottom of the canal are $$8m\;and\;6m$$ respectively. If the earth of volume $$112\times10^4\;m^3$$ is taken out to build the canal of $$50$$ km long, then the depth of the canal will be
Question 20 :
If the sum of the radii of two spheres is 2 km and their volumes are in the ratio 64:27 then the ratio of their radii is
Question 21 :
The radii of two right circular cone are in the ratio of 4 : 5 and their slant heights are in the ratio 2 ; 3. Then the ratio of their curved surfaces is
Question 22 :
If the volume in$$ \displaystyle m ^{2} $$ and the surface area in$$ \displaystyle m ^{2} $$ of a sphere are numerically equal then the radius of the sphere in m is
Question 23 :
A conical cup has a circular base with diameter $$21\;cm$$ and height $$1.8\;dm$$. How much oil can it contain?
Question 24 :
The ratio of the volumes of two spheres is $$8 : 27$$. The ratio of their radii is<br/>
Question 25 :
If the surface area of a sphere is$$ \displaystyle 324\pi cm^{2} $$ then its volume is
Question 26 :
If the surface area of a sphere is $$324\pi cm^2$$ then its volume is
Question 27 :
The volume of a hemispherical ball is given by the$$\displaystyle V=\frac{2}{3}\pi r^{3}$$ where V is the volume and r is the radius Find the diameter of he hemisphere whose volume is$$\displaystyle \frac{468512}{21}m^{3}$$
Question 28 :
If the radius and height of a right circular cylinder are $$4$$ cm and $$7$$ cm respectively, then its volume will be
Question 29 :
The volume of frustum of a cone is calculated by usingthe formula ______
Question 30 :
A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted an recasted into a sphere then the radius of the sphere is
Question 31 :
The circumference of the base of a cylinder is 12 m and its height is 77 m. The volume of the cylinder is
Question 32 :
The cost of painting the curved surface area of a cone at $$5\ ps/cm^{2}$$ is $$Rs 35.20$$, find the volume of the cone if its slant height is $$25 cm$$.
Question 33 :
A right circular cylinder has a volume of $$81\pi$$. If the circumference of the base is $$6\pi$$, what is the height?
Question 34 :
If the radius and slant height of a cone are $$20 \ cm$$ and $$29 \ cm$$ respectively. Find its volume.
Question 35 :
The formula for the volume of a cylinder is $$V = \pi r^2 h$$, where $$\pi = \displaystyle \frac{22}{7}$$. Find $$V$$, when $$r = 3$$ and $$h = 4$$.
Question 36 :
The volume of a sphere is increasing at the rate of 1200c.cm/sec.The rate of increase in its surface area when the radius is 10 cm is.
Question 37 :
The largest sphere is cut off from a cube of side $$5$$cm. The volume of the sphere will be __________.
Question 38 :
A right triangle with its sides $$9\space cm, 12\space cm$$ and $$15\space cm$$ is revolved about the side $$12\space cm$$. Find the volume of the solid so formed.
Question 39 :
A conical cup has a height of 21 cm and the diameter of its base is 18 cm Find the amount of water it can hold
Question 40 :
The number of balls of radius 1 cm that can be made from a solid sphere of radius 4 cm is <br>
Question 41 :
The diameter of two right circular cones are equal. If their slant heights are in the ratio $$3 : 2$$, then what is the ratio of their curved surface areas?
Question 42 :
A circular well with a diameter of $$2$$ metres, is dug to a depth of $$14$$ metres. What is the volume of the earth dug out?
Question 43 :
A right circular cone having a circular base and same radius as that of a given sphere. The volume of the cone is one half of the sphere. The ratio of the altitude of the cone to the radius of its base is: 
Question 44 :
The volume (in $${cm}^{3}$$) of a right circular cone of height $$12$$ cm and base radius $$6$$ cm is:
Question 45 :
Find the total surface area of a hollow cylinder of internal radius 3 cm thickness 1 cm and height 14 cm
Question 46 :
A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then.
Question 47 :
The radius of a cylindrical box is $$8$$ cm and the height is $$3$$cm. The number of inches that may be added to either the radius or the height to give the same non-zero increase in volume is:
Question 48 :
A cylindrical rod of iron whose height is four times its radius is melted and cast into the spherical balls of the same radius then the number of balls is
Question 49 :
A cylinder vessel of base radius 14 cm is filled with water to some height If a rectangular solid of dimensions 22 cm X 7 cm X 5 cm is immersed in it what is the rise in water level?
Question 51 :
The total surface area of a cone is $$71.28$$ c$$m^2$$. Find the volume of this cone if the diameter of the base is $$5.6$$ cm.
Question 52 :
If the height and diameter of a right circular cylinder are 32 cm and 6 cm respectively, then the radius of the sphere whose volume is equal to the volume of the cylinder is
Question 54 :
A cylindrical tank has base radius $$7$$ m and height $$9$$ m. If $$\dfrac{2}{3}$$ of the tank is filled with water find the volume of water In the tank. [ Use $$\pi =\cfrac {22}{7}$$]
Question 55 :
In a hot water heating system, there is a cylindrical pipe of length $$28\ m$$ and diameter $$5\ cm$$. Find the total radiating surface in the system.<br><br>
Question 56 :
The diameter of a sphere is decreased by $$25\%$$. By what percent does its curved surface area decrease
Question 57 :
Two solid spheres made of the same metal have weights $$5920$$ g and $$740$$ g, respectively. Determine the radius of the larger sphere, if the diameter of the smaller one is $$5$$ cm.<br/>
Question 58 :
The volume of a right circular cylinder with radius $$6$$ is $$9\pi$$. Calculate the height of the cylinder.
Question 59 :
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 mm. The length of the wire is
Question 60 :
The radius and slant height of a cone are in the ratio of 4 : 7. If its curved surface area is 792 $$\displaystyle cm^{2}$$ then its radius is (Use $$\displaystyle \pi =22/7$$)
Question 61 :
If a rectangular sheet of paper $$44 cm\times 22 cm$$ is rolledalong its length of form a cylinder, then the volume ofcylinder in $$cm^3$$ is
Question 62 :
A 10m deep well of diameter 1.4 m is dug up in a field and the earth from digging isspread evenly on the adjoining rectangular field. The length and breadth of that fieldare 55m and 14m respectively. Find the thickness of the earth layer spread.
Question 63 :
Earth is dugout to make a well $$28 m$$ deep and $$2.8 m$$ in diameter. Find the cost of plastering its inner surface at $$Rs. 4.50$$ per sq. metre.<br/>
Question 64 :
Find the volume of a sphere whose diameter is $$10$$ in.
Question 65 :
The largest possible sphere is carried out a wooden solid cube of side $$7$$ cm. Find the volume of the wood left. $$\left[\text{Use } \displaystyle \pi =\dfrac { 22 }{ 7 }\right]$$
Question 66 :
If the height of a cylinder is 4 times its circumference, what is the volume of the cylinderin terms of its circumference, C?
Question 67 :
The volume of a right circular cone of height $$10$$ cm and radius  of base $$6$$ cm is <br/>
Question 68 :
The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.
Question 70 :
The curved surface area of of a right cone is $$\displaystyle 286m^{2}$$ and its slant height is 13 m then area of the base is<br>
Question 71 :
In a $$729\ ml$$ mixture milk and water are in the ratio of $$7 : 2$$. How much quantity of water should be added in the new mixture so that the ratio of milk and water becomes $$7 : 3$$ ? 
Question 72 :
Two right circular solid cylinder have radii in the ratio $$3 : 5$$ and heights in the ratio $$2 : 3$$. Find the ratio between their volumes.
Question 73 :
The area of the base of a right circular cylinder is $$154cm^2$$ and its height is $$15\ cm$$. Find the volume of the cylinder.
Question 74 :
A cylindrical vessel with internal diameter $$10\ cm$$ and height $$10.5\ cm$$ is full of water. A solid cone of base diameter $$7\ cm$$ and height $$6\ cm$$ is completely immersed in water. Find the volume of water (i) displaced out of the cylinder (ii) left in the cylinder. (Take $$\pi = \dfrac{22}{7}$$)
Question 75 :
A 10 cm deep well with diameter 6 m is dug and the earth spread even to form a platform 22 cm x 10 cm X x cm The value of x is
Question 76 :
A bottle of drink holds $$250$$ $$\text{cm}^3$$. How many litres will $$24$$ bottles hold?
Question 77 :
A wide cylindrical vessel $$50\:cm$$ in height is filled with water and rests on a table, then find the maximum distance $$l_{max}$$.
Question 78 :
X and Y are two cylinders of the same height. The base of X has diameter that is half of the diameter of the base of Y. If the height of X is doubled. The volume of X becomes
Question 79 :
Diameter of a cylindrical tank is $$7$$ cm. If volume of tank is $$770$$ $$m^3$$, then find the height of tank?
Question 80 :
The largest sphere is cut off from a cube of side $$5cm$$. The volume of the sphere will be
Question 81 :
What length of solid cylinder $$2 cm$$ in diameter must be taken to recast into a hollow cylinder of external diameter $$20 cm$$, $$0.25 cm$$ thick and $$15 cm$$ long?<br/>
Question 82 :
The volume of the global hemisphere is $$\displaystyle 19404{ \ in }^{ 3 }$$. Find its diameter.
Question 83 :
If the diameter of the base of a cylinder is $$14$$ cm and its height is $$12$$ cm then the volume of the cylinder in $$m^3$$ is 
Question 84 :
Mark the correct alternative of the following.<br>A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is?<br>
Question 85 :
For a party , three solids cheese balls with diameters of $$2$$ inches, $$4$$ inches and $$6$$ inches, respectively, were combined to form a single cheese ball. What was the approximate diameter, in inches , of the new cheese ball ? (The volume of a sphere is $$\displaystyle \frac { 4 }{ 3 } \pi { r }^{ 3 }$$ , where r is the radius.)
Question 86 :
The total surface area of cone if its slant height is 9 m, and the radius of its base is 12 m is
Question 87 :
Volumes of two spheres are in the ratio $$64:27$$. The ratio of their surface areas is<br/>
Question 88 :
Say true or false.A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is $$1 : 2 : 3$$.<br/>
Question 89 :
The number of solid spheres each of diameter $$6$$ cm that could be moulded to form a solid metal cylinder of height $$45$$ cm and diameter $$4$$ cm is
Question 90 :
If the error in the measurement of radius of a sphere is 2 % then the error in the determination of volume of the sphere will be -<br/>
Question 91 :
A cylinder contains water to the extent of $$\left (\displaystyle \frac{3}{4}\right)^{th}$$ of its height. The radius and height of the cylinder are $$14$$ cm and $$28$$ cm respectively. Four solid metal sphere balls of radii $$2$$ cm, $$4$$ cm, $$6$$ cm and $$8$$ cm are dropped into the cylinder. What is the maximum raise in the height of the water level after the balls are dropped in it?<br/>
Question 92 :
The inner radius of a hemispherical steel bowl is $$5$$ cm If the thickness of the bowl is $$0.25$$ m find the volume of steel used in making the bowl
Question 93 :
If volume and surface area of a sphere are numerically equal, then it's radius is:<br/>
Question 94 :
The volume of a right circular cylinder can be obtained form its curved surface area by multiplying it by its 
Question 95 :
A child makes a paper model in the shape os a cylinder surmounted by a right come The height of the cylindrical part is 7.5 cm The base of the model has a diameter of 10 cm and the total height of the model is $$\displaystyle19\frac{1}{2}$$ cm find hte area of the paper required by the child to make the tent<br>
Question 96 :
The volume of two spheres is in the ratio $$64:27$$ and the sum of their radii is $$7\,cm$$. The difference in their total surface areas is
Question 97 :
The radius of a solid sphere is 'r' cm. It isbisected, then the total surface area of the twopieces obtained is
Question 98 :
The ratio of the height of a circular cylinder to the diameter of its base is $$1:2$$. Then the ratio of the areas of its curved surface to the sum of the areas of its two ends is:
Question 99 :
A right circular cone is of height $$3.6$$ cm and radius of its base is $$1.6$$ cm . It is melted and recasted into a right circular cone with radius of its base $$1.2$$ cm. Find the height of the cone so formed.
Question 100 :
If a sphere has the same curved surface area as total surface area of cone of vertical height 40 cm and radius 30 cm, then the radius of the sphere is
Question 101 :
Water is supplied to a city population for general use (not for drinking) from a river through a cylindrical pipe. The radius of the cross-section of the pipe is $$20cm$$. The speed of water through the pipe os $$18km$$ per hour. Find the quantity of water in litres which is supplied to the city in two hours. (Take $$\pi=3.14$$ and $$1{m}^{3}=1000$$litres)
Question 102 :
When freezing water increase its volume by $$\dfrac {1}{11}$$. By what part of its volume will ice decrease when melts and turns back into water?
Question 103 :
The volume of two cylinders are in the ratio $$a : b$$ and their heights are in ratio $$c : d$$. Find the ratio of their diameters.
Question 104 :
The height of a cone is $$10 cm$$. The cone is divided into two parts by drawing a plane through the midpoint of the axis of the cone, parallel to the base. Compare the volume of the two parts.
Question 105 :
Water is being pumped out through a circular pipe whose diameter is $$p$$ cm. If the flow of water is $$14 p$$ cm per second, how many litres of water are being pumped out in one hour? (Take $$\pi$$ = 22 / 7)
Question 106 :
Find the ratio of the edge of a cube to the radius of a sphere, if the volume of the cube is equal to the volume of the sphere.
Question 107 :
If there is an error of $$m$$% in measuring the edge of cube, then the present error in estimating its surface area is
Question 108 :
If the radius of a right circular cylinder is decreased by $$50\%$$ and its height is increased by $$60\%$$, its volume will be decreased by:
Question 109 :
A sphere of radius $$6$$cm is dropped into a cylindrical vessel, partly filled with water. The radius of the vessel is $$8$$cm. If the sphere is submerged completely, then the surface of the water rises by ___________.
Question 110 :
A rectangular piece of paper is $$24 cm$$ long and $$22 cm$$ wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder is:
Question 111 :
The diameter and height of a cylindrical tank are 7$$\mathrm { m }$$ and $$9m$$ respectively. If the inner side of the tank has to be painted all over, what will it cost at Rs $$35$$ persquare metre?
Question 112 :
Water flows out through a circular pipe whose internal diameter is $$2 cm$$, at the rate of $$6$$ metre per second into a cylindrical tank, the radius of whose base is $$60 cm$$. By how much will the level of water rise in $$30$$ minutes?
Question 113 :
If $$\displaystyle \pi \  cm^{3}$$ of metal is stretched to a wire of length $$3600 m$$, then the diameter of the wire will be
Question 114 :
A cylinder whose height is equal to $$\displaystyle 2\frac{1}{4}$$ times its diameter has the same volume as a sphere of radius 4 cm The radius of the base of the cylinder is<br>
Question 115 :
The number of solid spheres, each of diameter $$6$$cm that could be moulded to form a solid metal cylinder of height $$45$$cm and diameter $$4$$cm, is _______.
Question 116 :
A cube with  an edge length $$4$$ is divided into $$8$$ identical cubes. Calculate the difference between the combined surface area of the $$8$$ smaller cubes and the surface area of the original cube.
Question 117 :
A rectangular piece of cardboard is $$40$$ in. wide and $$50$$ in. long. Squares $$5$$ in. on a side are cut out of each corner, and the remaining flaps are bent up to form an open box. The number of cubic inches in the box is
Question 118 :
Water is flowing at the rate of $$3$$ km/hr through a circular pipe of $$20 cm$$ internal diameter into a circular cistern of diameter $$10 m$$ and depth $$2 m$$. In how much time will the cistern be filled?
Question 119 :
Each edge of a cube is increased by 50%. The percent of increase in the surface area of the cube is
Question 120 :
A cylindrical trunk of a tree has a girth ( circumference) of $$880$$ cm and a height of $$2$$ m. If the wood was sold at Rs. $$100$$ per cu ft and wastage was $$20 \%$$, then find the total amount received ( in Rs.).
Question 121 :
The circumference of a circle is $$200$$ feet and height is $$12$$ feet. Find its curved surface area of a cylinder.
Question 122 :
An iron pillar has some part in the form of a right circular cylinder and remaining in the form of a right circular cone. The radius of base of each of cone and cylinder is $$8 /cm$$. The cylindrical part is $$240 \ cm$$ high and the conical part is $$36 \ cm$$ high. Find <br/>The volume of iron used<br/>
Question 123 :
A right circular cylinder of height $$h$$ is inscribed in a cube of height h so that the bases of the cylinder are inscribed in the upper and lower faces of the cube. The ratio of the volume of the cylinder to that of the cube is
Question 124 :
The height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is?
Question 125 :
If the radius of a sphere is increases by 150% then percentage increase in volume is <br/>
Question 126 :
A sphere of radius $$r$$ is lying on a ground. The sphere makes an angle of measure $$60$$ at a point $$A$$ on the ground, then the distance of the center of the sphere form $$A$$ is
Question 127 :
A cylindrical container of radius $$6\  cm$$ and height $$15 \ cm$$ is filled with ice-cream. The whole ice cream has to be distributed to $$10$$ children in equal cones with hemispherical tops. The height of the conical portion is $$4$$ times the radius of its base, find the radius of the ice-cream cone.
Question 128 :
The curved surface area of a right cone is $$\displaystyle 286 m^{2}$$ and its the slant height is 13 m, then volume is<br>
Question 129 :
Two spheres, one with radius $$7$$ and one with radius $$4$$, are tangent to each other. If P is any point on one sphere and Q is any point on the other sphere, what is the maximum possible length of PQ ?
Question 130 :
The curved surface of a hemisphere whose internal & external radii are a & b respectively, will be -
Question 131 :
Find the ratio of the volume of sphere $$A$$ to sphere $$B$$, if the ratio of the surface area of sphere $$A$$ to the surface area of sphere $$B$$ is $$729:1$$. 
Question 132 :
The radius of a cylindrical cistern is $$10$$ metres and its height is $$15$$ meters. Initially, the cistern is empty. We start filling the cistern with water which comes out of the pipe with a velocity $$5 m/s$$. How many minutes will it take in filling the cistern with water?
Question 133 :
A right triangle with its sides $$5 cm$$ and $$13 cm$$, is revolved at the side $$12 cm$$. The solid so formed is
Question 134 :
Water flows out through a circular pipe, whose internal diameter is $$\displaystyle {1} \frac{1}{3}\, cm$$, at the rate of $$0.63$$ m per second into a cylindrical tank, the radius of whose base is $$0.2$$ m. By how much will the level of water rise in one hour?
Question 135 :
If a solid right circular cylinder, made of iron is heated to increase its radius and height by $$1 \%$$ each, then by how much percent is the volume of the solid increased?
Question 136 :
A hemispherical tank full of water is emptied by a pipe at the rate of $$\displaystyle {3}\frac{4}{7}$$ litres per second . How much time will it take to half empty the tank, if the tank is $$3$$ metres in diameter? (Take $$\pi$$ = 22/7)
Question 137 :
A conical vessel of radius $$6\space cm$$ and height $$8\space cm$$ is completely filled with water. A metal sphere is now lowered into water. The size of the sphere is such that when it touches the inner surface, it just gets immersed. The fraction of water that overflows from the conical vessel is
Question 138 :
Water flows through a cylindrical pipe of internal diameter $$7$$ cm at $$2$$ m per second. If the pipe is always half full then what is the volume of water (in litres) discharged in $$10$$ minutes ?
Question 139 :
Three solid metallic spheres of radii $$6$$, $$8$$ and $$10$$ centimetres are melted to form a single solid sphere. The radius of the sphere so formed is __________.
Question 140 :
A solid metal sphere of surface area $$S_1$$ is melted and recastinto a number of smaller spheres. $$S_2$$ is the sum of the surfaceareas of all the smaller spheres. Then,
Question 141 :
A spherical block of metal weighs $$12$$ pounds. What is the weight, in pounds, of another block of the same metal if its radius is $$3$$ times the radius of the $$12-$$pound block?
Question 142 :
Increasing the radius of the base of a cylinder by $$6$$ units increase the volume by $$y$$ cubic units . Increasing the altitude of the cylinder by $$6$$ units also increases the volume by $$y$$ cubic units. if the original altitude is $$2$$ units, find the original radius ?
Question 143 :
If the radius of a right circular cylinder open at both the ends is decreased by $$25\%$$ and the height of the cylinder is increased by $$25\%$$, then the surface area of the cylinder thus formed is:
Question 144 :
A cube with edges of length $$b$$ is divided into $$8$$ equal smaller cubes. Calculate the difference between the combined surface area of the $$8$$ smaller cubes and the surface area of the original cube.
Question 145 :
A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is $$44\space m$$, find the cost of painting it, given the cost of painting is $$Rs\space 2$$ per $$100\space cm^2$$.
Question 146 :
The internal and external radii of a metallic spherical shell are $$4$$ cm and $$8$$ cm, respectively. It is melted and recast into a solid right circular cylinder of height $$9\displaystyle \frac{1}{3} $$ cm. Find the diameter of the base of the cylinder.
Question 147 :
The number of iron rods, each of length $$7 m$$ and diameter $$2 cm$$ that can be made out be made out of $$0.88$$ cubic meters of iron is $$\displaystyle \left ( \pi =\frac{22}{7} \right )$$
Question 148 :
If a solid right circular cylinder  made of iron is heated to  increase its radius and height  by $$1 \%$$. each, then the volume  of the solid is increased by<br/>
Question 149 :
The radius of the base and height of a right circular cylinder are each increased by $$20\%$$. The volume of the cylinder will be increased by:
Question 150 :
A sphere of radius $$3$$, inscribed in a cube, is tangent to all six faces of the cube. The volume contained outside the sphere and inside the cube, in standard units, is:
