For this case we have by definition that the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
r: It's the radio
h: It's the height
We have as data that:
[tex]V = 324 \pi\\r = 12[/tex]
Substituting:
[tex]324 \pi = \pi * (12) ^ 2 * h[/tex]
We cleared h:
[tex]324 \pi = \pi * 144 * h\\324 = 144 * h\\h = \frac {324} {144}\\h = 2.25[/tex]
Thus, the height of the cylinder is 2.25 inches.
Answer:
[tex]h = 2.25[/tex]
