Question

If a radius of a sphere is doubled, then it's volume becomes _______times.​

Answer 1

Answer:

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Step-by-step explanation:

Let the radius of sphere is r

Then volume of sphere = $\frac{4}{3} \pi {r}^{3}$

If radius of sphere is doubled then radius is 2r

Then volume of new sphere =

$\frac{4}{3} \pi {2r}^{3} = \frac{4}{3} {8r}^{3}$

Then ratio of new and old sphere=

$\frac{ \frac{4}{3}8 {r}^{3} }{ \frac{4}{3} {r}^{3} }$

Then the radius of sphere is doubled then volume become eight times