Answer:
\(V=\pi r^{2}(7+r)\) or \(V=\pi [r^{3}+7r^{2}]\)
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 cylinder
h is the height of the cylinder
In this problem we have
\(h=7+r\)
Substitute in the formula
\(V=\pi r^{2}(7+r)\)
\(V=\pi [r^{3}+7r^{2}]\)
