Question

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Pls answer it fast!!!

If the ratio of surface areas of two spheres is 4:9 , then what is the ratio between their volumes?

Answer 1

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Answer 2

surface area of sphere is

$= > 4\pi {r}^{2}$

$= > \frac{4\pi {r}^{2} }{4\pi {r1}^{2} } = \frac{4}{9}$

$= \frac{ {r}^{2} }{ {r1}^{2} } = \frac{4}{9}$

$= > \frac{r}{r1} = \frac{2}{3}$

Volume of sphere is

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

$= > \: ratio \: of \: there \: volumes = \frac{ \frac{4}{3}\pi {r}^{3} }{ \frac{4}{3}\pi {r1}^{3} }$

$= > \frac{ {r}^{3} }{ {r1}^{3} }$

$= > \frac{ {2}^{3} }{ {3}^{3} }$

$= > \frac{8}{27}$

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