Cylinder and its circumference

If the height of a cylinder is 4 times its circumference c, what is the volume of the cylinder in terms of its circumference, c?

Result

V = (Correct answer is: c^3 / pi)

Step-by-step explanation:

$$\begin{gathered} h=4c \\ c=2\pi r \\ {S}_1=\pi r^2=\pi (c\mathrm{/}(2\pi ){)}^2 \\ {S}_1=c^2\mathrm{/}(4\pi ) \\ V=S_{1}h=(c^2\mathrm{/}(4\pi ))\cdot (4c)={\displaystyle \frac{c^2\cdot 4c}{4\pi }} \\ V={\displaystyle \frac{c^3}{\pi }} \\ V=c^3\mathrm{/}\pi \end{gathered}$$

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