Question

If the volume and the base area of right circular cone are 48π cm^3 and 12π cm^2 respectively, then find the height of the cone.

Answer 1

the height of cone is 12 cm

Answer 2

The height of the cone is 12 cm.

Given data :

Volume of the cone = 48π cm³

Base area of the cone = 12π cm²

Let,the radius of the base = r cm

So,

πr² = 12π

r² = 12

r² = 3×4

r = 2✓3

Let,the height of the cone = h cm

So,

1/3 × π × (2✓3)² × h = 48π

1/3 × 12 × h = 48

4h = 48

h = 12 (answer)