Question 1 :
The area of canvas required to construct a cone of height 24 m and base radius 7 m is

Question 2 :
Find the volume of a hemisphere of radius $6.3 \ cm$ ($\displaystyle \pi =22/7$)

Question 5 :
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 6 :
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 7 :
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 8 :
If the height and radius of a cone are doubled then the volume of the cone becomes

Question 9 :
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 10 :
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 11 :
The outer and the inner radii of a hollow sphere are $12\ cm$ and $10\ cm$. Find its volume.

Question 12 :
A cylindrical vessel open at the top has a base diameter of 56 cm. If the total cost of painting the outer curved surface of the vessel is Rs 352 at the rate of Rs 0.2 per $100{ cm }^{ 2 },$ then the height of the vessel is 

Question 13 :
The total surface area of a solid cylinder is $616$ $cm^2$. If the ratio between its curved surface area and total surface area is $1 : 2$; find the volume of the cylinder.

Question 14 :
A cuboid has uniform cross-section with length, breadth and height are $2, 3$ and $4 cm$ respectively, then calculate the volume and lateral surface area of a cuboid.<br/>

Question 15 :
A right circular cone of vertical height $24 cm$ has volume&#160;$\displaystyle 1232cm^{3}$. Its curved surface area is

Question 16 :
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 17 :
If&#160;$\displaystyle \pi \&#160; cm^{3}$ of metal is stretched to a wire of length $3600 m$, then the diameter of the wire will be

Question 18 :
If a solid right circular cylinder&#160; made of iron is heated to&#160; increase its radius and height&#160; by $1 \%$. each, then the volume&#160; of the solid is increased by<br/>

Question 19 :
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 20 :
If the radius of a sphere is doubled, the percent increase in volume is