Doubling the radius of a sphere results in increasing its volume by a factor of
A)2.
B)4.
C)8.
D)8π.

Name: Doubling the radius of a sphere results in increasing its volume by a factor of A)2. B)4. C)8. D)8π.
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Question

Quizplus · Accepted Answer

The volume of a sphere is given by V = (4/3)πr^3. When the radius (r) is doubled, it becomes 2r, and the new volume is V' = (4/3)π(2r)^3 = (4/3)π(8r^3) = 8V. Therefore, the volume is increased by a factor of 8, which is option C.

Doubling the Radius of a Sphere Results in Increasing Its