If the radius of a sphere is thrice than the radius of a hemisphere, then what will be the respective ratio of their volumes ?

54 : 1

We know that,

Volume of Sphere = \(\frac{4}{3}\)πR³

Volume of Hemisphere = \(\frac{2}{3}\)πR³

We have,

Radius of sphere = 3 × Radius of Hemisphere

Volume of sphere = \(\frac{4}{3}\)π(3a)³ = 36a³π 

Volume of Hemisphere = \(\frac{2}{3}\)π(a)³ = \(\frac{2}{3}\)a³π 

Ratio of their volumes = 54 : 1