ACT Math Practice Question #2101 (Medium) | Test Citadel
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ACT Math Difficulty: Medium

Digital ACT Math Practice Question #2101

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If the radius of a sphere is doubled, by what factor is its volume multiplied?
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Dimensional scaling: Length scales by $k$, Area by $k^2$, Volume by $k^3$. $2^3 = 8$.

Masterclass Solution & Distractor Trap Analysis

Volume of a sphere is $V = \frac{4}{3}\pi r^3$. If $r$ is replaced by $2r$, the new volume is $V' = \frac{4}{3}\pi (2r)^3 = 8 \left(\frac{4}{3}\pi r^3\right) = 8V$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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