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

Find the weight of a solid cone whose base is of diameter 14 cm and vertical height 51 cm, supposing the material of which it is made weighs 10 grams per cubic cm.

A right angled triangle of which the sides containing the right angle are 6.3 cm and 10 cm in length, is made to turn round on the longer side. Find the volume of the solid, thus generated. Also, find its curved surface.

The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find :

(i) height of the cone

(ii) slant height of the cone

(iii) curved surface area of the cone.

A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?