If radius of a sphere is doubled, how many times its volume will be affected?

2 times

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4 times

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6 times

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8 times

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Solution

The correct option is D 8 times
$υ = \frac{4}{3} π r^{3}$
Now new radius: $r^{'} = 2 r$
New volume: $υ^{'} = \frac{4}{3} π (2 r)^{3}$
$= 8 (\frac{4}{3} π r^{3})$
$υ^{'} = 8 υ$ .

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