Digital ACT Math Practice Question #1234
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A cone is ALWAYS exactly one-third the volume of a cylinder with the same base and height: $54\pi / 3 = 18\pi$.
The volume of a cylinder is $V_{\text{cyl}} = \pi r^2 h$. The volume of a cone with identical radius and height is $V_{\text{cone}} = \frac{1}{3}\pi r^2 h = \frac{1}{3}V_{\text{cyl}}$. $$V_{\text{cone}} = \frac{1}{3}(54\pi) = 18\pi\text{ cm...
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