Question

The volume of two heuspheres are in the ratio 27:125 find the ratio of thr radii

Answer 1

Hi Mate !!



Let's denote the volume of first hemisphere as V1 and second hemisphere as V2

Radius of V1 as r1
radius of V2 as r2

• Volume of Hemisphere = 2/3 πr³


$\frac{v1}{v2} = \frac{27}{125}$


$\frac{ \frac{2}{3}\pi \: {r1}^{3} }{ \frac{2}{3} \pi \: {r2}^{3} } = \frac{27}{125}$


$\frac{ {r1}^{3} }{ {r2}^{ 3} } = \frac{27}{125}$


$\frac{r1}{r2} = \sqrt[3]{ \frac{27}{125} }$



$\frac{r1}{r2} = \frac{3}{5}$



So, the ratio of their radius is 3 : 5 !!