A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. Find the radius of the base of the cone.

Question

Philoid · Accepted Answer

Given,

Radius (R) of the hemisphere = 6 cm

Height (h) of the cone = 75 cm

Let the radius of the base of the cone = r

Now,

Volume of the cone = Volume of the hemisphere

⇒

⇒ r² = 5.76

⇒ r = √5.76

Therefore,

r = 2.4 cm

So,

The radius of the base of the cone is 2.4 cm.