The volume of two sphere are in the ratio 64:27. Find their radii if the sum of their radii is 21m.

experts pls ans me this question. i had asked this question a week ago but i didn't receive any ans.

Question

The volume of two sphere are in the ratio 64:27 Find their radii if
the sum of their radii is 21m

experts pls ans me this question i had asked this question a week
ago but i didn't receive any ans

Manmeet Singh · Accepted Answer

Given volume of 2 spheres are in the ratio of 64:27.

Volume of a sphere = $\frac{4}{3} π r^{3}$

So,

$\Rightarrow \frac{\frac{4}{3} π {r_{1}}^{3}}{\frac{4}{3} π {r_{2}}^{3}} = \frac{64}{27} \Rightarrow \frac{{r_{1}}^{3}}{{r_{2}}^{3}} = \frac{64}{27} \Rightarrow \frac{r_{1}}{r_{2}} = (\frac{64}{27})^{\frac{1}{3}} = \frac{4}{3} \Rightarrow r_{1} = \frac{4}{3} r_{2} \Rightarrow r_{1} + r_{2} = 21 \Rightarrow \frac{4}{3} r_{2} + r_{2} = 21 \Rightarrow \frac{7}{3} r_{2} = 21 \Rightarrow r_{2} = 9 c m \Rightarrow r_{1} = 12 m$

The volume of two sphere are in the ratio 64:27. Find their radii if the sum of their radii is 21m. experts pls ans me this question. i had asked this question a week ago but i didn't receive any ans.

The volume of two sphere are in the ratio 64:27. Find their radii if the sum of their radii is 21m.

experts pls ans me this question. i had asked this question a week ago but i didn't receive any ans.