Cylinder's 83130

Calculate the cylinder's volume if you know that the ratio of the cylinder's height to the base's radius is 3:2 and the height is 15 dm.

Correct answer:

V =  4712.389 dm³

Step-by-step explanation:

$$\begin{gathered} h:r=3:2 \\ h=15\text{dm} \\ r=2\cdot h/3=2\cdot 15/3=10\text{dm} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 10^2\cdot 15=4712.389{\text{dm}}^3 \end{gathered}$$

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