A solid metallic cylinder is melted and formed into identical solid cones each having same radius and same height as that of the cylinder. The number of cones formed is :

1. 3

2. 6

3. 9

4. 2

A solid metallic cone of radius 10 cm and height 12 cm is melted to form a wire of uniform cross-section 1 cm². The length of wire formed is :

1. 40 × π cm

2. 4 × π m

3. 400 × π m

4. 2 × π m

A hollow sphere of internal and external diameters 4 cm and 8 cm, respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.

The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cone of height 32 cm. Find the diameter of the base of the cone.