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CBSE Class 9 Answered

A cylinder made of lead has base radius 7 cm and height 20 cm. It is melted and recasted into a cone of base radius 14 cm. Find its height.
Asked by Topperlearning User | 26 Oct, 2017, 11:32: AM
answered-by-expert Expert Answer

Given: Radius of the cylinder (R) = 7 cm, height (H) = 20 cm

Radius of cone (r) = 14 cm

Let h be the height of the cone

Now, Volume of cylinder = Volume of the cone

begin mathsize 12px style πR squared straight H space equals space 1 third πr squared straight h straight h space equals space fraction numerator 3 cross times 7 cross times 7 cross times 20 over denominator 14 cross times 14 end fraction straight h space equals space 15 space cm end style

Answered by | 26 Oct, 2017, 01:32: PM

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