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CBSE Class 9 Answered

The circumference of the base of the cone of height 12 cm is 22 cm. Calculate its volume.

Asked by Topperlearning User | 17 Oct, 2017, 01:17: PM
Expert Answer

Circumference the base = 22 cm

begin mathsize 12px style 2 πr space equals space 22 space cm
straight r space equals space fraction numerator 22 cross times 7 over denominator 2 cross times 22 end fraction
straight r space equals space 3.5 space cm end style

Let V be its volume.

begin mathsize 12px style straight V space equals space 1 third πr squared straight h
straight V space equals space 1 third cross times 22 over 7 cross times 3.5 cross times 3.5 cross times 12
straight V space equals space 154 space cm cubed end style

Answered by | 17 Oct, 2017, 03:17: PM
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