Question 1 :
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 2 :
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 3 :
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 4 :
If the diameter of wire is decreased by $10\%$, by how much percent approximately will the length be increased to keep the volume constant?
Question 5 :
A conical cup has a circular base with diameter $21\;cm$ and height $1.8\;dm$. How much oil can it contain?
Question 6 :
If the surface area of a sphere is $324\pi cm^2$ then its volume is
Question 7 :
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 8 :
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 9 :
The radius of a sphere is 3 cm its volume is
Question 10 :
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 :
The radii of two cylinders are in the ratio of $3 : 4,$ and their height are in the ratio $4 : 3.$ The ratio of their volume is :
Question 12 :
The formula for the volume of a cylinder is $V = \pi r^2 h$, where $\pi = \displaystyle \frac{22}{7}$Find $h$, when $V = 770$ and $r = 3.5$<br/>
Question 13 :
The radius of the base of a  right circular cone is $r$ and its height is $2h$, then its volume is <br/>
Question 14 :
The ratio of the radii of two cones having equal height is 2:3 then ratio of their volume is ...................
Question 15 :
The volume of a sphere is$\displaystyle 1150.35{ in }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).
Question 16 :
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 17 :
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 18 :
Curved surface of right circular cylinder is $4.4m^2$, radius of base is $0.7$m then the height is (Take<br>$\pi=\displaystyle\frac{22}{7}$
Question 19 :
If there is an error of $m$% in measuring the edge of cube, then the present error in estimating its surface area is
Question 20 :
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/>