Find the height of a cone of radius 30 cm which is formed by melting a sphere of radius 30 cm.

Asked by Topperlearning User | 24th Oct, 2017, 01:51: PM

Expert Answer:

Given: Radius of the base of the cone (r) = 30 cm,

Let h be the height of the cone

Radius of the sphere (R) = 30 cm

Sphere is melted and recasted into a cone.

Therefore, Volume of cone=Volume of sphere

 

begin mathsize 12px style 1 third πr squared straight h space equals space 4 over 3 πR cubed
straight h space equals space fraction numerator 4 cross times 30 cross times 30 cross times 30 over denominator 30 cross times 30 end fraction
straight h space equals space 120 space cm end style

Answered by  | 24th Oct, 2017, 03:51: PM