Answer:
[tex]V=\pi r^{2}(7+r)[/tex] or [tex]V=\pi [r^{3}+7r^{2}][/tex]
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
where
r is the radius of the base of cylinder
h is the height of the cylinder
In this problem we have
[tex]h=7+r[/tex]
Substitute in the formula
[tex]V=\pi r^{2}(7+r)[/tex]
[tex]V=\pi [r^{3}+7r^{2}][/tex]
