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# math help

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a cylinder has a volume of 3meters cubed and a radius of 0.8meters what is the hieght

Sep 18, 2017

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a cylinder has a volume of 3meters cubed and a radius of 0.8meters what is the height ?

Let V = volume
Let h = height

$$\begin{array}{|rcll|} \hline V &=& \pi r^2 h \\ 3 &=& \pi \cdot (0.8)^2 \cdot h \\ 4.6875 &=& \pi h \quad & | \quad : \pi \\ \frac{4.6875}{\pi} &=& h \quad & | \quad \pi = 3.14159265359 \\ \frac{4.6875}{3.14159265359} &=& h \\ \mathbf {1.49207759149} &\mathbf {=} & \mathbf {h} \\ \hline \end{array}$$

The height of the cylinder is $$\mathbf{ \approx 1.5\ m}$$

Sep 19, 2017