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1.

A well with 10m inside diameter is dug 14 m deep. Earth taken out of it is spread all around to a width of 5 m to form an embankment. Find the height of embankment.

2.

The radius and height of a cone are 6 cm and 8 cm respectively. Find the curved surface area of the cone.

3.

A cone of height 24 cm and slant height 25 cm has a curved surface area . Find its volume

4.

Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.

5.

A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 6 cm and its height is 4 cm. Find the cost of painting the toy at the rate of Rs. 5 per .

6.

A hemisphere of lead of radius 8 cm is cast into a right circular cone of base radius 6 cm. Determine the height of the cone.

7.

A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

8.

A sphere, cylinder and cone are of the same radius and same height. Find the ratio of their curved surfaces.

9.

The radius and height of a cone are in the ratio 4 : 3. The area of the base is . Find the area of the curved surface.

10.

Find the lateral curved surface area of a cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high. How much steel was actually used, if 1/12 of steel actually used was wasted in making the closed tank.

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