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Question

The volume of a cylinder is 308 cm3. Its height is 8 cm. Find its lateral surface area and total surface area.

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Solution

Let r be the radius of cylinder.
Volume of cylinder =308cm3=πr2h
227×r2×8=308
r2=308×722×8
r=494=72cm
Therefore,
Lateral surface area of cylinder =2πrh=2×227×72×8=176cm2
Also,
Total surface area of cylinder =2πr(h+r)=2×227×72×(8+72)=22×232=253cm2

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