If the radius of a sphere is thrice than the radius of a hemisphere, then what will be the respective ratio of their volumes ?
Answer & explanation
Correct answer: option 3
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