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Question

The total surface area of a solid cylinder is 462cm2. Its curved surface area is one third of total surface area. Find the volume of the cylinder.

A
229 cm3
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B
509 cm3
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C
439 cm3
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D
539 cm3
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Solution

The correct option is D 539 cm3
Given:

TSA=462cm2=2πr(r+h)

CSA=2πrh=13(TSA)=13×462=154cm2

TSACSA=2πr2

308=2πr2

7×30822×2=r2

r=7cm

CSA=154=2πrh

154=2×227×7×h

3.5cm=h

volume = πr2h=227×7×7×3.5cm3

=539cm3

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