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