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Question

A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e.r1r2, where r1 and r2 are the radii of sphere and hemisphere respectively.


A

1

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B

32

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C

34

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D

32

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Solution

The correct option is D

32


Total surface area of a sphere is
=4πr12

Total surface area of a hemisphere
=3πr22

Since both are equal,
4πr12 = 3πr22

r12r22 = 34

r1r2 = 32


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