Digital ACT Math Practice Question #1214
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Notice $r^3 = 216 \implies r = 6$. Then $4\pi (6^2) = 144\pi$.
The volume of a sphere is $V = \frac{4}{3}\pi r^3$. Setting this equal to $288\pi$: $$\frac{4}{3}\pi r^3 = 288\pi \implies \frac{4}{3}r^3 = 288 \implies r^3 = 288 \times \frac{3}{4} = 216 \implies r = 6.$$ The surface area of a sphere is $A...
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