2 years ago

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Mathematics

1 answer:

emmainna [20.7K]2 years ago

3 0

Answer:

10:19 15:27 20:36

Step-by-step explanation:

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The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round answer to nearest ten

leonid [27]

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ -----\\ V=108\pi \\ h=4 \end{cases}\implies 108\pi =\cfrac{\pi r^2(4)}{3}\implies 324\pi =4\pi r^2 \\\\\\ \cfrac{324\pi }{4\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies 9=r$