A spherical cannon ball 28 cm in diameter is melted and recast into a right circular conical mould, base of which is 35 cm in diameter. Find the height of the cone.

Given,

Diameter of cannon ball = 28cm

So the Radius of cannon ball = 14 cm

Volume of cannon ball = πr³ = π × 14³

Radius of the cone = cm

Let the height of cone be h cm.

Volume of cone = π × h cm³

Here we have,

= π × 14³ = π × h

= h = π × 14 × 14 × 14 ×

= h = 35.84 cm

Hence, the height of the cone = 35.84 cm.