Question

If the ratio of radii of two spheres is 4 : 7, find the ratio of their volumes.

Answer 1

Let the ratio of their radii is r₁ : r₂

r₁ : r₂ = 4 : 7

Ratio of their volumes

V₁ : V₂ = `4/3pi"r"_1^3 : 4/3 pi"r"_2^3`

= `"r"_1^3 : "r"_2^3`

= 4³ : 7³

Ratio of their volumes = 64 : 343