Question 1 :
The volume of a right circular cone is 9856 $cm^3$ . If the diameter of the base is 28 cm, find the curved surface area of the cone.

Question 2 :
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube?

Question 3 :
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height of the cone (taking $\pi=\frac{22}{7}$).

Question 4 :
30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.

Question 5 :
The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in $m^2$ .Assume $\pi$ =$\frac{22}{7}$.

Question 6 :
Find the volume of a sphere whose surface area is 154 $cm^2$ .

Question 7 :
Find the volume of a sphere whose radius is 7 cm.

Question 8 :
A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs 4989.60. If the cost of white-washing is Rs 20 per square metre, find the volume of the air inside the dome.

Question 9 :
Curved surface area of a right circular cylinder is 4.4 $m^2$ . If the radius of the base of the cylinder is 0.7 m, find its height.Assume $\pi$ =$\frac{22}{7}$.

Question 10 :
A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the curved surface of the solid so formed.

Question 11 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find the cost of plastering this curved surface at the rate of Rs 40 per $m^2$.Assume $\pi$ =$\frac{22}{7}$

Question 12 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find its inner curved surface area.Assume $\pi$ =$\frac{22}{7}$.

Question 13 :
The curved surface area of a right circular cylinder of height 14 cm is 88 $cm^2$ . Find the diameter of the base of the cylinder. Assume $\pi$ =$\frac{22}{7}$.

Question 14 :
Find the amount of water displaced by a solid spherical ball of diameter 0.21 m.

Question 15 :
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?

Question 16 :
A cylindrical tube opened at both the ends is made of iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimeters of iron has been used in making the tube ?

Question 17 :
The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area of the cone (Use $\pi$ = 3.14).

Question 18 :
State true or false: If the radius of a right circular cone is halved and height is doubled, the volume will remain unchanged.

Question 19 :
Find the radius of a sphere whose surface area is 154 $cm^2$.

Question 20 :
The paint in a certain container is sufficient to paint an area equal to 9.375 $m^2$ . How many bricks of dimensions $22.5cm\times10cm\times7.5cm$ can be painted out of this container?

Question 21 :
A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

Question 22 :
Find the length of the longest pole that can be put in a room of dimensions(10 m × 10 m × 5m).

Question 23 :
Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions $25cm\times20cm\times5cm$ and the smaller of dimensions $15cm\times12cm\times5cm$. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs. 4 for 1000 $cm^2$ , find the cost of cardboard required for supplying 250 boxes of each kind.

Question 24 :
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume.

Question 25 :
A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. For how many days will the water of this tank last?