Answer:
radius of the cylinder is, 8 inches
Step-by-step explanation:
Volume of cylinder(V) is given by:
[tex]V = \pi r^2h[/tex] .....[1]
where,
r is the radius of the cylinder and
h is the height of the cylinder.
As per the statement:
A cylinder has a volume of 320 pi cu. in. and a height of 5"
⇒[tex]V = 320 \pi[/tex] cubic inches and h = 5 inches
Substitute these values in [1] we have
[tex]320 \pi = \pi r^2 \cdot 5[/tex]
Simplify:
[tex]320 = r^2 \cdot 5[/tex]
Divide both sides by 5 we have;
[tex]64=r^2[/tex]
or
[tex]r^2 = 64[/tex]
⇒[tex]r = \sqrt{64} = 8 in[/tex]
Therefore, the radius of the cylinder is, 8 inches
