What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?

The volume of the sphere of radius r is:

V1 = (4/3) * (pi) * (r ^ 3)

Where,

r: sphere radius:

The volume of the sphere of radius 0.3r is:

V2 = (4/3) * (pi) * ((0.3r) ^ 3)

Rewriting:

V2 = (4/3) * (pi) * (0.027 (r) ^ 3)

V2 = 0.027 (4/3) * (pi) * (r ^ 3)

V2 = 0.027V1

The difference is:

V1-V2 = V1-0.027V1 = V1 (1-0.027)

V1-V2 = 0.973 * (4/3) * (pi) * (r ^ 3)

Answer:

the difference in volume between a sphere with radius and a sphere with radius 0.3r is:

V1-V2 = 0.973 * (4/3) * (pi) * (r ^ 3)