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The radius of a sphere is $2 r$ , then its volume will be

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\frac{4}{3} π r^{3}

4 π r^{3}

\frac{8}{3} π r^{3}

\frac{32}{3} π r^{3}

answer is D.

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Detailed Solution

Given, the radius of the sphere is 2r.
The formula for the volume of sphere is given by,
Volume of a sphere

= 43 π r 3

, where r is the radius. So, after substituting the value of all the dimensions in the formula we get,
Volume of sphere

= \frac{4}{3} π (2 r)^{3}

= \frac{32}{3} π r^{3}

Therefore, the volume of sphere is

\frac{32}{3} π r^{3} .

Hence option (4) is correct.

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