Question

The volumes of two hemispheres are in the ratio 27:125. Find the ratio of their radii

Answer 1

we know, volume of hemisphere is 2/3 ×πr³
Now,
$\frac{ \frac{2}{3} \pi \times {r}^{3} }{ \frac{2}{3}\pi \times {r}^{3} } = \frac{27}{125}$

$\frac{ {r}^{3} }{ {r}^{3} } = \frac{27}{125}$
$\frac{r}{r} = \frac{3}{5}$
Therefore, ratio of their radii is 3:5