Question

15) The ratio of areas of two spheres are 4:9, find the ratio of their volumes.
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Answer 1

We know,

Area of a sphere = 4πr².

And , volume = 4/3 π r³

Given,

$\frac{a1}{a2} = \frac{4}{9} \\ = > ( { \frac{r1}{r2}) }^{2} = ( { \frac{2}{3} )}^{2}$

Hence, the ratios of volumes =

${( \frac{r1}{r2} )}^{3} = {( \frac{2}{3}) }^{3} \\ = \frac{8}{27} ans$

Regards

Kshitij