Digital ACT Math Practice Question #2102
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Recognize the 6-8-10 right triangle! $r = 6, h = 8$. $V = (1/3)\pi(36)(8) = 96\pi$.
Radius $r = 12 / 2 = 6$ cm. The height $h$, radius $r$, and slant height $l$ form a right triangle: $h = \sqrt{l^2 - r^2} = \sqrt{10^2 - 6^2} = \sqrt{64} = 8$ cm. Volume $V = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (6^2)(8) = \frac{1}{3}\pi (...
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