The volume of a cylinder is 54π cubic inches and the height is 6 inches. Find the radius.

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.

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