Question 1 :
The number of balls of radius 1 cm that can be made from a sphere of radius 10 cm will be
Question 2 :
The volume of a cone is $18480\;cm^3$. If the height of the cone is $40\;cm$, find the radius of its base.
Question 3 :
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 4 :
In a right circular cone, the cross-section made by a plane parallel to the base is a <br/>
Question 5 :
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 7 :
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 8 :
A right circular cone an and circular and a right cylinder have the same radius and the same volume. The ratio of the height of the cone to that of the cylinder is
Question 10 :
If a sphere and a cube have the same volume then the ratio of the surface of the sphere to that of the cube is
Question 11 :
The radius and height of a right circular cone are in th ratio $2:3$. Find the slant height if its volume is $100.48\ cm^3$. (Take $\pi =3.14$).
Question 12 :
If the height and radius of a cone are doubled then the volume of the cone becomes
Question 13 :
Find the volume of the right circular cone with radius $3.5\ cm$, height $12\ cm$
Question 14 :
A conical cup $18$ cm high has a circular base of diameter $14$ cm The cup is full of water which is now poured into a cylindrical vessel of circular base whose diameter is $10$ cm What will be the height of water in the vessel
Question 15 :
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 16 :
Two cones $A$ and $B$ have their base $r$ in the ratio of $4:3$ and their heights in the ratio $3:4$ of ratio of volume of cone $A$ to that of cone.
Question 17 :
If the circumference of the inner edge of a hemispherical bowl is$\displaystyle \frac{132}{7}$cm then what is the capacity?
Question 18 :
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 19 :
The volume of a sphere is $\dfrac {88}{21}\times (14)^{3} cm^{3}$. The curved surface of the sphere is (Take $\pi = \dfrac {22}{7}$).
Question 20 :
If the radius height of a cone are in the ratio 5 : 12 and its volume is$ \displaystyle 314cm^{3} $ then slant height is
Question 21 :
Find the volume of the sphere whose diameter is 30 cm
Question 22 :
The diameter of a sphere is 21 cm. Calculate its volume
Question 23 :
The volume of the greatest sphere cut off from a cylindrical wood of base radius 1 cm and height 5 cm is
Question 24 :
The radii of two spheres are in the ratio 3:5 The ratio of their volumes is
Question 25 :
Find the volume of the right circular cone with radius $6\ cm$, height $7cm$
Question 26 :
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 27 :
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 28 :
Two right circular cones of dimensions h=4.1, r=2.1 cm and h = 4.3 cm, r = 2.1 cm are melted to form a sphere of radius
Question 29 :
If radius of a sphere is doubled, how many times its volume will be affected
Question 30 :
If the surface area of a sphere is$ \displaystyle 324\pi cm^{2} $ then its volume is
Question 31 :
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 32 :
Find the weight of a solid cone whose base is of diameter $42\;cm$ and vertical height $20\;cm$, supposing that the material of which it is made weights $5$ grams per cubic centimetre.
Question 33 :
The base and top radius of a truncated cone is 10 cmand 3.5 cm respectively. The height of the cone is 270 cm. What is the volumeof a truncated cone? (Use $\pi$= 3).
Question 34 :
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 35 :
The volume of a sphere of diameter 2p cm is given by
Question 36 :
A cone of height $24$ cm and radius of base $6$ cm is made up of modelling clay. A child reshapes it in the form of a sphere. The radius of sphere is
Question 37 :
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 38 :
A heap of paddy is in the form of a cone whose diameter is $4.3m$ and height is $2.8m$. If the heap is to be covered exactly by a canvas to protect it from rain, then find the area of the canvas needed.
Question 39 :
The height of a cone is 15$\mathrm { cm } .$ If its volume is $1570 \mathrm { cm } ^ { 3 } ,$ find the radius of the base.
Question 40 :
The volume of a solid hemisphere of radius 2 cm is
Question 41 :
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 42 :
If the circumference of the inner edge of a hemispherical bowl is $\dfrac {132}{7} cm$, then what is its capacity?
Question 43 :
The radius of a sphere is 3 cm its volume is
Question 44 :
If the area of the base of a cone is 770 $ \displaystyle cm^{2} $and the curved surface area is 814 $ \displaystyle cm^{2} $ then its volume is
Question 45 :
A cone of semi-vertical angle $\displaystyle \alpha $ is inscribed in a sphere of radius $2$ cm. The height of the cone is 
Question 46 :
Three solid spheres of copper, whose radii are $3$ cm, $4$ cm and $5$ cm respestively are melted into a single solid sphere of radius R. The value of R is
Question 47 :
A conical cup has a circular base with diameter $21\;cm$ and height $1.8\;dm$. How much oil can it contain?
Question 48 :
A conical flask of base radius r and height h is full of milk The milk is now poured into a cylindrical flask of radius 2r What is the height to which the milk will rise in the flask?
Question 49 :
If the radius of the base of a right circular cone is halved keeping the height same then the ratio of the volume of the reduced cone to that of the original cone is
Question 50 :
Three solid spheres of a lead are melted into a single solid sphere If the radii of the three spheres be 1 cm, 6 cm and 8 cm respectively Then radius of the new sphere is :
Question 51 :
A sphere of diameter $12.6$ cm is melted and cast into a right circular cone of height $25.2$ cm. The diameter of the base of  the cone is ?
Question 52 :
The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is :
Question 53 :
The radius of a sphere is $2r$, then its volume will be:<br/>
Question 54 :
A conical tent of radius $33$ m and height $56$ m.Find the cost of the $10$ m wide cloth required at the rate of Rs.20 per metre.$\left( {\pi = 3.14} \right)$
Question 55 :
Three cylinders each of height $16$ cm and radius of base $4$ cm are placed on a plane, so that each cylinder touches the other two. Then the volume of region enclosed between the three cylinders in $cm^3$ is
Question 56 :
The radius and the height of a right circular cone are in the ratio of 3 : 5 If its volume is 120$\displaystyle \pi $ cu m its slant height is
Question 57 :
The volume of a sphere is$\displaystyle 1150.35{ in }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).
Question 58 :
How many spherical bullets can be made out of a lead cylinder $15$cm high and with base radius $3$cm, each bullet being $5$mm in diameter?
Question 59 :
The ratio of whole surface area of a certain cube is equal to the area of the curved surface area of a certain sphere. Then ratio of their volumes is
Question 60 :
A hollow sphere of internal and external diameters $4  $ cm and $8 $ cm respectively, is melted into a cone of base diameter $8  $ cm. The height of the cone is:
Question 61 : <p>A water tank holds 50,000,000 liters of water.How many cubic meters is that?</p>
Question 62 :
Consider the following statements : <br>1. The two spheres intersect each other.<br>2. The radius of first sphere is less than that of second sphere.<br>Which of the above statements is/are correct ?
Question 63 :
A conical tent is $12$ m high with base radius of $6$ m. Find number of persons it can accommodate, if each person requires $\displaystyle 4{ m }^{ 2 }$ on ground.
Question 64 :
If the volume of cylinder is $12436\ cm^{3}$ and radius and height of cylinder are in the ratio $2 : 3$, find its height.
Question 65 :
The total surface area of a solid hemisphere of diameter 2 cm is equal to
Question 66 :
If two cones have their heights in the ratio 1 : 3 and radii 3 :1 then the ratio of their volumes is
Question 67 :
The total surface area of cone if its slant height is 9 m, and the radius of its base is 12 m is
Question 68 :
The volume of the cylinder is $\displaystyle 96\pi { m }^{ 3 }$. Find the volume of a cone   and height  if cone has  same base and height as of cylinder. The circular base of the cylinder is $3$ m radius.
Question 69 :
You have a measuring cup with capacity $25 ml$ and another with capacity $110 ml$, the cups have no markings showing intermediate volumes. Using large container add as much tap water as you wish. What is the smallest amount of water you can measure accurately ?
Question 70 :
A hollow sphere of internal and external radii 3 cm and 4 cm respectively is melted into a cylinder of diameter 37 cm. The height of the cylinder is
Question 71 :
A sphere and a cube are of the same height. The ratio of their volume is
Question 72 :
If the radius of the base of a right circular cone is halved, keeping the height same, then the ratio of the volume of the reduced cone to that of the original cone is
Question 73 :
A rectangular sheet of paper $36$ cm $\times$ $22$ cm , is rolled along its length to form a cylinder. Then the volume of cylinder so formed is
Question 74 :
Calculate the volume of the hemisphere with radius $\dfrac {1}{3}$ m.
Question 75 :
The slant height of a conical tent is 35 m and its diameter is 56 m. Then the cost of constructing it at 20 paise per $m^3$ is
Question 76 :
Find the volume of a sphere whose diameter is $10$ in.
Question 77 :
Fill in the blanks:<br>Volume of a cone = ..... x .............
Question 78 :
A cylinder has a diameter of 20 cm. The area of the curved surface is 100 $\displaystyle cm^{2}$ (sq. cm). Find the volume of the cylinder correct to one decimal place.<br/><br/><br/>Answer: 502.9 $\displaystyle cm^{3}$ when h is taken as 1.6 cm <br/><br/><br/>
Question 79 :
The volume of a right circular cylinder whose diameter is 10 cm and height 4 cm is
Question 80 :
Two cylinders of same volume have their heights in the ratio $1 : 3.$ Find the ratio of their radii.
Question 81 :
Volume of a cone is $6280\ cubic\ cm$ and base radius of the cone is $30\ cm$. Find its perpendicular height.$(\pi=3.14)$
Question 82 :
A spherical ball made of iron has diameter 6 cm. If density of iron 8g/$\displaystyle cm^{3} $ then mass of the ball is nearly (use $\displaystyle \pi =3.142 $)
Question 83 :
Two cones have their heights in the ratio $1 : 3$ and the radii of their bases are in the ratio $3 : 1$, then the ratio of their volumes is
Question 84 :
The circumference of the base of a $12\ m$ high wooden solid cone is $44 \ m$. Find the volume.
Question 85 :
A right angled triangle with sides $3\,cm,\,4cm$ and $5\,cm$ is rotated about the side of $3\,cm$ to form a cone. The volume of the cone so formed is:
Question 86 :
If the total surface area of a solid hemisphere is $462$ $\displaystyle { cm }^{ 2 }$, find its volume.<br/>Note: Take $\displaystyle \pi =\frac { 22 }{ 7 } $
Question 87 :
The base radius and height of a right circular solid cone are $12 cm$ and $24 cm$, respectively. It is melted and recast into spheres of diameter $6 cm$ each. Find the number of spheres so formed.
Question 88 :
A cone has a radius of $2$ cm and height of $3$ cm, find total surface area of the cone.
Question 89 :
The volume of a sphere is $\displaystyle\frac{4}{3}\pi r^3\:c.c.$ What isthe ratio of the volume of a cube to that of a sphere which will fit inside the cube?
Question 90 :
Calculate the volume of a sphere whose radius is  $3 $cm.
Question 91 :
Find the volume of a sphere whose diameter is  $7.2$  mm.
Question 92 :
The volume of a sphere is$\displaystyle 300\pi { cm }^{ 3 }$. Find its radius.
Question 94 :
Find the curved surface area and total surface area of a hollow hemisphere whose outer and inner radii are $4.3$ cm and $2.1$ cm respectively.
Question 95 :
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 96 :
If the volumes of two cones are in the ratio $1:4$ and their diameters are in the ratio $4:5$, then the ratio of their heights is ___________.
Question 97 :
The surface areas of the sphere and a cube are equal and if their volumes are $\displaystyle V_{1}$ and$\displaystyle V_{2}$ respectively then $\displaystyle \frac{V_{1}}{V_{2}}$<br>
Question 98 :
The volume of sphere is$\displaystyle 904.77{ cm }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).
Question 99 :
When a right triangle of area $4$ is rotated $360^o$ about its longer leg, the solid that results has a volume of $16$. Calculate the volume of the solid that results when the same right triangle is rotated about its shorter leg.
Question 100 :
The radius of a spherical balloon increases from $7cm$ to $14cm$ as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.
Question 101 :
The curved surface of a hemisphere whose internal & external radii are a & b respectively, will be -
Question 102 :
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 103 :
Each edge of a cube is increased by 50%. The percent of increase in the surface area of the cube is
Question 104 :
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 105 :
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 106 :
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 107 :
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 108 :
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 109 :
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 110 :
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 111 :
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 112 :
If the radius of a sphere is doubled, the percent increase in volume is
Question 113 :
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 114 :
The radius of a right circular cone $A$ is $\dfrac {1}{5}$ of the radius of right circular cone $B$, and the height of right circular cone A is $\dfrac {1}{4}$ of the height of right circular cone B. Calculate the ratio of the volume of right circular cone A to the volume of right circular cone B.
Question 115 :
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 116 :
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 117 :
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 118 :
If the radius of a sphere is increases by 150% then percentage increase in volume is <br/>
Question 119 :
The radius and height of an ice cream cone are in the ratio $4:3$ and area of its base is $154\ cm^{2}$.Find its curved surface area.<br/>
Question 120 :
If there is an error of $m$% in measuring the edge of cube, then the present error in estimating its surface area is
Question 121 :
Two spheres, of radius 8 and 2, are resting on a plane table top so that they touch each other.How far apart are their points of contact with the plane table top?
Question 122 :
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 123 :
Find the minimum length in cm and correct to nearest whole number of the thin metal sheet required to make a hollow and closed cylindrical box of diameter $20$ cm and height $35$ cm. Given that the width of the metal sheet is $1$ m. Also, find the cost of the sheet at the rate of Rs. $56$ per m. Find the area of metal sheet required, if $10\%$ of it is wasted in cutting, overlapping, etc.
Question 124 :
Jim has identical drinking glasses each in the shape of a right circular cylinder with internal diameter of $3 inches$. He pours milk from a gallon jug into each glass until it is full. If the height of milk in each glass is about $6 inches,$ what is the largest number of full milk glasses that he can pour from one gallon of milk? (Note: There are $231$ cubic inches in $1$ gallon.)
Question 125 :
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 126 :
The shape of a solid is a cylinder surmounted by a cone. If the volume of the solid is $40656\space cm^3$, the diameter of the base is $42\space cm$ and the height of the cylinder is $20\space cm$, find the slant height of the conical portion.
Question 127 :
A cylindrical tank is $\dfrac{1}{2}$ full. When 6 quarts are added, the tank is $\dfrac{2}{3}$ full. The capacity of the tank, in quarts, is
Question 128 :
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 129 :
The sum of the length, breadth and depth of cuboid is 19 cm and the diagonal is$\displaystyle 5\sqrt{5}.$ Its surface area is
Question 130 :
The height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is?
Question 131 :
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 132 :
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 133 :
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 134 :
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 135 :
A right triangle with its sides $5 cm$ and $13 cm$, is revolved at the side $12 cm$. The solid so formed is
Question 136 :
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 137 :
The barrel of a fountain pen, cylindrical in shape, is $7$ cm long and $5$ mm in diameter. A full barrel of ink in the pen will be used up on writing $330$ words on an average. How many words would use up a bottle of ink containing one fifth of litre ?
Question 138 :
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 139 :
If the volume of a sphere in increases by $72.8 \%$, then its surface area increases by
Question 140 :
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 141 :
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 142 :
A drinking glass is in the shape of a frustum of a cone of height $14$cm. The diameter of its two circular ends are $4$cm and $2$cm then the capacity glass is
Question 143 :
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:
Question 144 :
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 145 :
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 146 :
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 147 :
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 148 :
The circumference of the base of a circular cylinder is $\displaystyle 6\pi $ cm. The height of the cylinder is equal to the diameter of the base. How many litres of water can it hold?
Question 149 :
The circumference of a circle is $200$ feet and height is $12$ feet. Find its curved surface area of a cylinder.
Question 150 :
Curved surface of right circular cylinder is $4.4m^2$, radius of base is $0.7$m then the height is (Take<br>$\pi=\displaystyle\frac{22}{7}$
