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CBSE Class 9 Answered

A cone of height 8 dm and radius 16 dm is melted and recasted into a sphere. Find the radius of the sphere.
Asked by Topperlearning User | 24 Oct, 2017, 01:27: PM
answered-by-expert Expert Answer

Given: Radius of the base of the cone (r) = 16 dm, height of the cone (h) = 8 dm

Let radius of the sphere be R

Cone is melted and recasted into a sphere.

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 R cubed space equals space fraction numerator 16 cross times 16 cross times 8 over denominator 4 space end fraction space dm squared straight R space equals space 8 space dm end style

Answered by | 24 Oct, 2017, 03:27: PM

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