Solve the problem.
-If the radius of a sphere is doubled, by what factor will the volume change?
A) 6
B) 2
C) 8
D) 4

Name: Solve the problem. -If the radius of a sphere is doubled, by what factor will the volume change? A) 6 B) 2 C) 8 D) 4
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Question

Quizplus · Accepted Answer

The volume of a sphere is given by the formula $V = \frac{4}{3}\pi r^3$. If the radius is doubled, the new volume becomes $V' = \frac{4}{3}\pi (2r)^3 = \frac{4}{3}\pi 8r^3 = 8 \times \frac{4}{3}\pi r^3$, which means the volume increases by a factor of 8.

Solve the Problem. -If the Radius of a Sphere Is Doubled, by What