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Question

The TSA of cylinder is 231 cm 2 if the CSA is 23rd of the TSA , find radius and height.

Solution
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TSA=(2πr2+2πrh)andCSA=2πrhnow(23)(2πr2+2πrh)=2πrh(4πr2+4πrh)=6πrhor4πr2=2πrh2r=hnow

=2πrh=(23)231

=2πr2r=(23)231

=r2=(223134π)=(223174223)=(494)r=(72)cmandhenceh=2r=7cm

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