If the ratio of surface areas of two spheres is 4 : 9, then the ratio of their volume is

Since surface area $\propto r^2$, $\frac{r_1}{r_2} = \sqrt{\frac{4}{9}} = \frac{2}{3}$. Therefore, the ratio of their volumes is \(\left(\frac{r_1}{r_2}\right)^3 =…

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Since surface area $\propto r^2$ , $\frac{r_1}{r_2} = \sqrt{\frac{4}{9}} = \frac{2}{3}$ . Therefore, the ratio of their volumes is $\left(\frac{r_1}{r_2}\right)^3 = \left(\frac{2}{3}\right)^3 = 8 : 27$ .

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If the ratio of surface areas of two spheres is 4 : 9, then the ratio of their volume is

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