Question

A sphere is just enclosed inside a right circular cylinder. If the surface area of the sphere is 30 cm2, find the curved surface area of the cylinder.

Answer 1

Volume of the sphere = 4πr²

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Find Radius :
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$4 \pi r^2 = 30$

$r^2 = \dfrac{30}{4 \pi }$

$r = \sqrt{\dfrac{30}{4 \pi}$

$r = 1.55 \ cm$

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Find curved surface of cylinder :
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Area = 2πrh

Area = 2 x π x 1.55 x 2(1.55)

Area = 30.19 cm²

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Answer: 30.19 cm²
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