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# The base radius and height of a solid metal cylinder are 12 centimetres and 20 centimetres. By melting it and recasting, how many cones of base radius 4 centimetres and height 5 centimetres can be made?

Answer :

For the cylinder:

Radius of base = 12 cm

Height = 20 cm

Volume of the cone =

= 4 × 12 × 20 π

= 2880π cm^{3}

For the cone:

Radius of base = r_{b} = 4 cm

Height = h = 5 cm

= 108

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