Answer:
The radius of the cylinder is 3 inches.
Step-by-step explanation:
For any given cylinder, the volume can be expressed as:
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius of its circular surface, and h is its height.
Given that: volume = 54π cubic inches, and the height = 6 inches.
then,
54[tex]\pi[/tex] = [tex]\pi[/tex] x [tex]r^{2}[/tex] x 6
54[tex]\pi[/tex] = 6[tex]\pi[/tex][tex]r^{2}[/tex]
[tex]r^{2}[/tex] = [tex]\frac{54\pi }{6\pi }[/tex]
= 9
r = [tex]\sqrt{9}[/tex]
r = 3
The radius of the cylinder is 3 inches.
