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The volumes of two hemispheres are in the ratio 27: 125. What is the ratio of the radii?

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2:7

3:5

7:9

1:3

answer is B.

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Detailed Solution

Given- volumes of two hemispheres are in the ratio 27: 125.

Volume of hemisphere = 23 π r 3

Let

r 1

be the radius of first hemisphere and

r 2

be the radius of second hemisphere.

⇒ 23 π r 13 23 π r 23 = 27125 ⇒ r 13 r 23 = 27125 ⇒ r 13 r 23 = 353 ⇒ r 1 r 2 = 35

Thus, the ratio of the radii is 3:5.
Hence, option 2 is the correct option.

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