Q. 125.0( 1 Vote )

Answer :

Given,

Base radius (r) of the cylinder = 8 cm

Height (h) of the cylinder = 2 cm and

Height (H) of the cone = 6 cm

Let the base radius of the cone = R

Now,

As the cylinder is melted to form the cone,

So,

Volume of the cone = Volume of the cylinder

⇒ 1/3πR^{2}H = πr^{2}h

⇒ R^{2} = 3r^{2}hH

⇒ R2=3 × 8 × 8 × 26

⇒ R^{2} = 64

⇒ R = √64

Therefore,

R = 8 cm

So,

The radius of the base of the cone is 8 cm.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.