The formula for the volume of the cylinder is given by:
[tex]V=\pi\cdot r^2\cdot h[/tex]
Where:
r = radius
h = length of height
Substitute the given values:
[tex]225\pi=\pi\cdot(5)^2\cdot h[/tex]
And solve for h:
[tex]\begin{gathered} 225\pi=\pi\cdot25\cdot h \\ \frac{225\pi}{25\pi}=\frac{25\pi h}{25\pi} \\ h=9 \end{gathered}[/tex]
Answer: 9 cm
