Proportion

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the volume of a cone varies jointly as its height and the square of its radius. A cone with a radius of 6 inches and a height of 10 inches has a volume of 120pi cubic inches. Find the volume of a cone having a radius 18 inches and a height of 20 inches.

Guest Apr 15, 2022

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The formula for the volume of a cone is: ${r^2 \pi h } \over 3$

Plugging in the values, we have: ${18^2 \pi 20 \over3} = \color{brown}\boxed{2160 \pi}$

BuilderBoi Apr 15, 2022

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BuilderBoi · Answer 1 · 2022-04-15T02:03:27

The formula for the volume of a cone is: ${r^2 \pi h } \over 3$

Plugging in the values, we have: ${18^2 \pi 20 \over3} = \color{brown}\boxed{2160 \pi}$

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