A sphere of radius 12 cm is melted and recasted into a cylinder of radius 6 cm. Find the height of the recasted cylinder.

Asked by Topperlearning User | 24th Oct, 2017, 01:31: PM

Expert Answer:

Given: Radius of the base of the cylinder (r) = 6 cm

Radius of the sphere (R) = 12 cm

Let h = height of the cylinder

Sphere is melted and recasted into a cylinder.

Therefore, Volume of cylinder = Volume of sphere

 

begin mathsize 12px style πr squared straight h equals 4 over 3 πR cubed
straight h space equals space fraction numerator 4 cross times 12 cross times 12 cross times 12 over denominator 3 cross times 6 cross times 6 end fraction
straight h space equals space 64 space cm end style

Answered by  | 24th Oct, 2017, 03:31: PM

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