Mathematics, 30.01.2020 11:44 ob3ymysins
The height of a right cylinder is 3 times the radius of the base. the volume of the cylinder is 24 cubic units. what is the height of the cylinder?
Answers: 1
![\large\boxed{H=\dfrac{6}{\sqrt[3]{\pi}}}](/tpl/images/0485/6603/58339.png)
![24=\pi r^2(3r)\\\\24=3\pi r^3\qquad\text{divide both sides by}\ 3\pi\\\\\dfrac{24}{3\pi}=r^3\\\\r^3=\dfrac{8}{\pi}\to r=\sqrt[3]{\dfrac{8}{\pi}}\\\\r=\dfrac{\sqrt[3]{8}}{\sqrt[3]{\pi}}\\\\r=\dfrac{2}{\sqrt[3]{\pi}}\\\\H=3r\to H=3\cdot\dfrac{2}{\sqrt[3]{\pi}}\to H=\dfrac{6}{\sqrt[3]{\pi}}](/tpl/images/0485/6603/f193d.png)
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