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Question

The volumes of two hemispheres are in the ratio of 8:27. Find the ratio of their radii.

A
2:3
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B
3:2
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C
1:3
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D
4:3
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Solution

The correct option is A 2:3
Let V1&V2 be the volumes.
Given, V1V2=827

Volume of hemisphere is given by
V = 23πr3

The ratio will be given by

23πr323πR3=827

r3R3=2333

rR=23


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