If the radius of a sphere is doubled, its volume increases by a factor of:

A2

B4

C6

D8

Explanation

Volume V = (4/3) * pi * r^3. Replacing r with 2r gives V’ = (4/3) * pi * (2r)^3 = 8 * V. Volume increases by a factor of 8.

Exam Relevance

Topic: Geometry, Mensuration & Trigonometry
Subtopic: 3D Solids & Scaling

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