Question 1 :
The ratio of the radii of two cones having equal height is $2:3$, then ratio of their volume is ____________.
Question 2 :
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 3 :
The volume of frustum of a cone is calculated by usingthe formula ______
Question 4 :
Find the volume of the right circular cone with radius $3.5\ cm$, height $12\ cm$
Question 5 :
How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm if each bullet has radius 2 cm?
Question 6 :
The radius and height of a right circular cone are in the ratio $3:4$. If its volume is $96\pi cm^3$, what is its slant height?
Question 7 :
If the circumference of the inner edge of a hemispherical bowl is $\dfrac {132}{7} cm$, then what is its capacity?
Question 8 :
There is water to a height of $16cm$ in a cylindrical glass jar of radius $12.5cm$. Inside the water, there is a sphere of diameter $15cm$, completely immersed. By what height will water go down, when the sphere is removed?
Question 9 :
Find the volume of a hemisphere of radius $6.3 \ cm$ ($\displaystyle \pi =22/7$)
Question 10 :
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 11 :
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 12 :
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 13 :
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 14 :
If radius of a sphere is doubled, how many times its volume will be affected
Question 15 :
The radius of a sphere is 3 cm its volume is
Question 16 :
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 17 :
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 18 :
A solid in the form of a cube has a hemisphere touching four edges of the surface on every surface If the side of the cube is 4 cm then its volumes is
Question 19 :
A cylindrical pencil sharpened at one edge is the combination of<br>
Question 20 :
If volume and surface area of a sphere are numerically equal then it's radius is
Question 21 :
If the radius of the base of a right circular cone is $3r$ and its height is equal to the radius of the base, then its volume is:
Question 23 :
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 24 :
What is the volume (in cu. cm) of a spherical shell with $8$ cm and $10$ cm as its internal and external diameters respectively?
Question 25 :
Find the volume and surface area of a sphere of radius $4.2$ cm. $\displaystyle \left [ \pi =\frac{22}{7} \right ]$<br/>
Question 26 :
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 27 :
The height of a cone is 15$\mathrm { cm } .$ If its volume is $1570 \mathrm { cm } ^ { 3 } ,$ find the radius of the base.
Question 29 :
The radii of two spheres are in the ratio 3:5 The ratio of their volumes is
Question 31 :
If the height and radius of a cone are doubled then the volume of the cone becomes
Question 32 :
The largest sphere is cut off from a cube of side $5$cm. The volume of the sphere will be __________.
Question 33 :
If the height of a cone is doubled then its volume is increased by
Question 34 :
The volume of a sphere of diameter 2p cm is given by
Question 35 :
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 36 :
The height of a cone is $9 cm$ and the radius of the base is $7 cm$. The cone is melted and a cuboid is formed. The length of the base of the cuboid is $11 cm$ and breadth is $6 cm$. Find the height of the cuboid.<br>
Question 37 :
How many spherical bullets can be made out of a cube of lead whose edge measures $22$cm, each bullet being $2$cm in diameter?
Question 38 :
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 40 :
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 41 :
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 42 :
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 43 :
If the base area and the volume of a cone are numerically equal, then its height is 3 units.<br>
Question 44 :
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 46 :
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 47 :
The volume of the largest circular cone that can be cut of a cube whose edge is $8$cm is ________.
Question 48 :
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 49 :
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 50 :
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 51 :
The ice cream cone height is double its radius. The radius is $5.5$ cm. Find the volume of a cone.
Question 52 :
A spherical ball of radius $3$ cm is melted and recast into three spherical balls. The radii of two of the balls are $1.5$ cm and $2$ cm. Find the diameter of the third ball.
Question 53 :
The total surface area of cone if its slant height is 9 m, and the radius of its base is 12 m is
Question 54 :
A sphere has volume $36\pi\ cm^{3}$, find the radius of the sphere
Question 55 :
A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted and turned into a sphere The diameter of a sphere is
Question 56 :
The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.
Question 57 :
A tent is in the form of right circular cone 10.5 m high, the diameter of the base being 13 m. If 8 men are in the tent, find the average number of cubic metres of air space per man.
Question 58 :
If the surface area of a sphere is $144 \pi \ cm^{2}$, then its radius is:<br/>
Question 59 :
A cylinder of radius $5\ cm$ is inserted within a cylinder of radius $10\ cm$. The two cylinders have the same height of $20\ cm$. What is the volume of the region between the two cylinders?<br>
Question 60 :
The radius of a sphere is increased by 50%,then the increase in surface area of a sphere is
Question 61 :
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 62 :
A hemispherical tank of radius $1\frac {3}{4}$m is full of water. Itis connected with a pipe which empties It at the rate of 7 liters per second. How much time will it take to empty the tank completely?
Question 63 :
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 64 :
Find the length of $11$ kg copper wire of diameter $0.4$ cm. Given one cubic cm of copper weights $8.4$ gram.
Question 65 :
The circumference of the base of a $12\ m$ high wooden solid cone is $44 \ m$. Find the volume.
Question 66 :
The base diameter of a solid in the form of a cone is $6$ cm and the height of the cone is $10$ cm It is melted and recast into spherical balls of diameter $1$ cm. Find the number of balls, thus obtained
Question 67 :
Two spheres have their surface areas in the ratio $9 : 16$ Their volumes are in the ratio of
Question 68 :
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 69 :
How many spherical lead shots each $4.2 cm $ in diameter can be obtained from a rectangular solid (cuboid) of lead with dimensions $66 cm, 42 cm, 21 cm$. (Take $\pi\, =\, \dfrac {22}{7}$)
Question 70 :
If the circumference of base of a hemisphere is 2$\pi$ then it volume is ................... cm$^3$.
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 :
The ratio of the radii of two cylinders is $\displaystyle 1:\sqrt{3}$ and their heights are in the ratio $2 : 3$. The ratio of their volumes is
Question 73 :
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 74 :
A solid piece of iron of dimensions $66 cm \times 49 cm \times 12 cm$ is moulded into a sphere. The radius of the sphere is
Question 75 :
An urn of boiling water has a capacity of$20$ litres. After everyone had their morning tea, there are only $6$ litres of water left in the urn. What percentage of theurn still has water in it?
Question 76 :
A rectangular box has uniform cross-section with length, breadth and height are 4, 2 and 8 cm respectively, then calculate the volume and lateral surface area of the box.<br>
Question 77 :
If the sphere of radius 6 cm is melted and drawn into a wire of radius 0.2 cm, then the length of the wire is
Question 78 :
The largest sphere is carved out of a cube whose edge is of length $l$ units. Find the volume of the sphere.
Question 79 :
Earth dug out on making a circular tank of radius 7 m is spread all round the tank uniformly to a width of 1 m to form an embankment of height 3.5 m. Calculate the depth of the tank.
Question 80 :
Find the volume of a sphere whose diameter is $10$ in.
Question 81 :
If the volume and surface area of the sphere is numerically equal, then its radius is :<br/>
Question 82 :
A cone of height $9 \ cm$ with diameter of its base is curved out from a wooden solid sphere of radius $9 \ cm$. The percentage of wood wasted is.
Question 83 :
The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius $3$ cm and height $7$ cm is
Question 84 :
Water flows at the rate of 10 m per minute through a cylindrical pipe having its diameter as 5 mm. How much time will it take to fill a conical vessel whose diameter of the base is 40 cm and depth 24 cm?
Question 85 :
A solid piece of iron of dimensions $49$cm $\times$ $33$cm $\times$ $24$cm is moulded into a sphere. The radius of the sphere is __________.
Question 86 :
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 87 :
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 88 :
If the radius of a sphere is doubled, the percent increase in volume is
Question 89 :
A solid cylinder has a total surface area of $462$ $\displaystyle cm^{3}$ Its curved surface area is one-third of its total surface area . The volume of the cylinder is :$\displaystyle \left ( \pi =\frac{22}{7} \right )$
Question 90 :
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 91 :
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 92 :
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 93 :
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 94 :
The circumference of a circle is $200$ feet and height is $12$ feet. Find its curved surface area of a cylinder.
Question 95 :
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 96 :
If solid cylinder has total surface area $\displaystyle 1000{ cm }^{ 2 }$ and its curved surface area is $\displaystyle \frac { 1 }{ 4 } $ of $d$. What is the volume of cylinder?
Question 97 :
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 98 :
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 99 :
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 100 :
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 101 :
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 102 :
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 103 :
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 104 :
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 105 :
If the volume of a sphere in increases by $72.8 \%$, then its surface area increases by
