If the radius of a liquid particle doubles, its volume increases by a factor of:

Name: If the radius of a liquid particle doubles, its volume increases by a factor of:
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Question

Quizplus · Accepted Answer

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius. If the radius doubles, the volume becomes (4/3)π(2r)^3 = (4/3)π8r^3 = 8(4/3)πr^3. Thus, the volume increases by a factor of 8. Therefore, the correct choice is D.

If the Radius of a Liquid Particle Doubles, Its Volume