Question

Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B. What is the ratio of the volume of sphere A to sphere B?

1:2
6:12
1:8
36:144

Answer 1

Volume of sphere A

= (4/3)π(3^3) = 36π cubic units

Volume of sphere B

= (4/3)π((3/2)^3) = (4/3)π(27/8) = (9/2)π = 4.5π cubic units

The ratio of the volume of sphere A to sphere B is 4.5:36 = 1:8.