A) To solve the formula for h:
1. Divide both sides of the equation into π*r²:
[tex]\begin{gathered} \frac{V}{\pi\cdot r^2}=\frac{\pi\cdot r^2\cdot h}{\pi\cdot r^2} \\ \\ \frac{V}{\pi\cdot r^2}=h \end{gathered}[/tex]B) You have the next data:
V=300πfeet³
r=5feet
Substitute those values in the formula you get in A) and calculate the h:
[tex]\begin{gathered} h=\frac{300\pi\cdot ft^3}{\pi\cdot(5ft)^2} \\ \\ h=\frac{300ft^3}{25ft^2}=12ft \end{gathered}[/tex]Then, the height of the cylinder is 12 feet