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

Guest Sep 18, 2017

#1**0 **

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

Let** r **= radius

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 \(\mathbf{ \approx 1.5\ m}\)

heureka Sep 19, 2017