Question

If sphere and hemisphere are having same volume. Their radius are in the ratio?

Answer 1

Let the radius of sphere be " a "

Volume of the sphere = 4/3πa³

Let the radius of hemisphere be " b "

Volume of hemisphere = 2/3πb³

Given

Volume of sphere = Volume of hemisphere

4/3πa3 = 2/3πb³

2a³=b³

a³/b³ = 1/2

a/b = $\sqrt[3]{ \frac{1}{2} }$
a : b = 1 : $\sqrt[3]{2}$

Therefore ,their radii are in the ratio 1 :$\sqrt[3]{2}$

Answer 2

See the attached file hope its rit