Question

What is the volume of the larger sphere please help i dont understand​

Answer 1

32π is the volume of the larger sphere

Explanation:

The volume of a sphere is V = 4/3πr³. The smaller sphere is V = 4π. This means r³ divided by 3 was 1. So r³ = 3. For the larger sphere, substitute r = 2r into the volume formula.

V = 4/3πr³

V = 4/3π(2r)³

V = 4/3π8r³

We know from the previous problem that r³ = 3.

So the volume formula simplifies to V = 4π(8) = 32π