Answer:
The height of the given cylinder is 39 centimeters.
Step-by-step explanation:
Given : The volume of a cylinder is 325π cubic centimeters and its radius is 5 centimeters.
We have to find the height of the given cylinder.
Consider the given cylinder.
We know
Volume of cylinder = [tex]\frac{1}{3}\pi \cdot r^2\cdot h[/tex]
volume of a cylinder = 325π cubic centimeters
and its radius is 5 centimeters.
Substitute, we have,
[tex] 325\pi=\frac{1}{3}\pi \cdot (5)^2\cdot h[/tex]
Simplify, we have,
[tex] 325=\frac{1}{3}\cdot 25\cdot h[/tex]
Multiply both side by [tex]\frac{3}{25}[/tex], we have,
[tex] 325\times \frac{3}{25}=h[/tex]
Simplify, we have,
h = 39
Thus, The height of the given cylinder is 39 centimeters.
