Question

The ratio of the radio of two spheres is 2:3. Find the ratio of the volume of the two spheres​

Answer 1

Answer:

8:27

Step-by-step explanation:

Let r₁ and r₂ be in ratio 2:3 for spheres S₁ and S₂

Volume of sphere = $\frac{4}{3} * \pi * r^3$

Volumes of S₁:S₂ = $\frac{4}{3} * \pi * r_1^3 : \frac{4}{3} * \pi * r_2^3$

Volume of S₁:S₂ = $r_1^3 : r_2^3$ = 2³: 3³ = 8:27