Question

The radius of the large sphere is double the radius of the

small sphere.
How many times is the volume of the large sphere than the
small sphere?
2
VX
O 4
O 6
O 8

Answer 1

4 times as great

Explanation:

Compute the two different volumes and then compare them.

Smaller sphere: V = (4/3) · π ·r²

Larger sphere: V = (4/3) · π · (2r)² = (4/3) · π · 4 · r²

Comparing these, one sees immediately that the volume of the larger sphere is 4 times as great as that of the smaller sphere.