The formula for the volume of a cylinder is vrhSolve v - for h, the height of the cylinder.
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The formula for the volume of the cylinder is given by:
[tex]V=\pi(r^2h)[/tex]Divide the left and the right hand side by pi and the square of r to get:
[tex]\begin{gathered} \frac{V}{\pi(r^2)}=\frac{\pi(r^2h)}{\pi(r^2)} \\ \frac{V}{\pi(r^2)}=h \end{gathered}[/tex]Therefore the height can be written as:
[tex]h=\frac{V}{\pi(r^2)}[/tex]Option D is correct.