A right circular cone is 3.6cm high and radius of its base is 1.6cm. I

1.	A right circular cone is 3.6cm high and radius of its base is 1.6cm. It is melted and recast into a right circular cone having base radius 1.2cm. Find its height.
Answer» It is given that Height of the cone = 3.6cm Radius of the cone = 1.6cm Radius after melting = 1.2cm We know that Volume of original cone = Volume of cone after melting By substituting the values 1/3 π × 1.6² × 3.6 = 1/3 π × 1.2² × h It can be written as h = (1/3 π × 1.6² × 3.6)/ (1/3 π × 1.2²) On further calculation h = 6.4cm Therefore, the height of the right circular cone is 6.4cm.

A right circular cone is 3.6cm high and radius of its base is 1.6cm. It is melted and recast into a right circular cone having base radius 1.2cm. Find its height.

Answer»

It is given that

Height of the cone = 3.6cm

Radius of the cone = 1.6cm

Radius after melting = 1.2cm

We know that

Volume of original cone = Volume of cone after melting

By substituting the values

1/3 π × 1.6² × 3.6 = 1/3 π × 1.2² × h

It can be written as

h = (1/3 π × 1.6² × 3.6)/ (1/3 π × 1.2²)

On further calculation

h = 6.4cm

Therefore, the height of the right circular cone is 6.4cm.