Answer:
\(V=24.2\ ft^{3}\)
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
\(V=\pi r^{2} h\)
where
r is the radius of the base of the cylinder
h is the height of the cylinder
In this problem we have
\(h=15\ ft, C=4.5\ ft\)
Remember that
the circumference of a circle is equal to
\(C=2\pi r\)
Solve for r
\(r=\frac{C}{2\pi }\)
substitute
\(r=\frac{4.5}{2\pi }\ ft\)
Find the volume
\(V=\pi (\frac{4.5}{2\pi })^{2} (15)\)
\(V=24.2\ ft^{3}\)
