The diameter of a metallic sphere is 6 cm. The sphere is melted and drawn into a wire of uniform cross-section. If the length of the wire is 36 m, find its radius.

A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder of height 32 cm. Find the :

(i) radius of the cylinder

(ii) curved surface area of the cylinder. Take π = 3.1

A rectangular water tank of base 11 m × 6 m contains water upto a height of 5 m if the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of water level in the tank.

The volume of a cone is the same as that of the cylinder whose height is 9 cm and diameter 40 cm. Find the radius of the base of the cone if its height is 108 cm.