If the radius of a sphere is doubled,its volu | vedclass

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(D) The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^3$,where $r$ is the radius.Let the original radius be $r_1 = r$.Then the ori

Vedclass · Accepted Answer

$8$

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(D) The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^3$,where $r$ is the radius.Let the original radius be $r_1 = r$.Then the original volume is $V_1 = \frac{4}{3} \pi r^3$.If the radius is doubled,the new radius becomes $r_2 = 2r$.The new volume is $V_2 = \frac{4}{3} \pi (2r)^3 = \frac{4}{3} \pi (8r^3) = 8 	imes (\frac{4}{3} \pi r^3)$.Therefore,$V_2 = 8 	imes V_1$.Thus,the volume becomes $8$ times the volume of the original sphere.

If the radius of a sphere is doubled,its volume becomes $\ldots \ldots \ldots$ times the volume of the original sphere.

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