The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. What is the radius of the sphere?

6 cm

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4 cm

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3 cm

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12 cm

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9 cm

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Solution

The correct option is A
6 cm

$4 π r^{2} = 2 π \times 6 \times 12$

$r^{2} = \frac{6 \times 12}{2} = 36$

$\Rightarrow r = 6 c m$

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