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CBSE Class 9 Answered

A tent is in the form of a cylinder surmounted by a cone of radius 12 m. The height of the conical portion is 7 m, which is equal to the height of the cylindrical portion of the tent. Calculate the volume of the tent.
Asked by Topperlearning User | 26 Oct, 2017, 11:39: AM
answered-by-expert Expert Answer

Radius of the cylinder = Radius of cone (r) = 12 m

 Height of cylinder = Height of cone (h) = 7 m

Volume of the tent = Volume of conical part + volume of cylindrical part

begin mathsize 12px style straight V space equals space 1 third πr squared straight h space plus space πr squared straight h
straight V space equals space πr squared straight h open parentheses 1 third plus 1 close parentheses
straight V space equals space 22 over 7 cross times 12 cross times 12 cross times 7 cross times 4 over 3
straight V space equals space 4224 space straight m cubed end style

Answered by | 26 Oct, 2017, 01:39: PM

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