A spherical balloon has a circumference of 10 inches. If it expands to twice the volume, what happens to its circumference?
A) Its circumference more than doubles.
B) Its circumference doubles.
C) Its circumference increases but does not double.

Question

Quizplus · Accepted Answer

The volume of a sphere is proportional to the cube of its radius, and the circumference is directly proportional to the radius. If the volume doubles, the radius increases by the cube root of 2, not by a factor of 2, so the circumference increases but does not double.

A Spherical Balloon Has a Circumference of 10 Inches