Question

The volume of two hemispheres are in the ratio 125:216. The ratio of their radii is​

Answer 1

Answer:

The ratio of their radii is ⅚.

Step-by-step explanation:

Volume of a hemisphere = ⅔πr³

Let R and r be the radii of the two hemispheres.

Then,

Ratio of their volume =125/216

⅔πR³÷ ⅔πr³ =125/216

R³/r³ = 5³/6³

(R/r)³ = (⅚)³

Taking cube root, we get,

R/r = ⅚

Thus, the ratio of their radii is ⅚