Answer:
![\pi r^2(r+7)](https://img.qammunity.org/2020/formulas/mathematics/high-school/zagttsd9airhhb31po7tl3qe5zjf20evk5.png)
Explanation:
We are to write an expression for the volume of a cylinder 7 inches greater than the radius.
We know that the formula for the volume of a cylinder:
Volume of a cylinder =
![\pi r ^ 2 h](https://img.qammunity.org/2020/formulas/mathematics/high-school/9z543vil57y6bxni987i2qahwegozv6am8.png)
where
radius of the base of the cylinder,
is the height of the cylinder.
Here, the height of the cylinder is 7 more than its radius:
![h = r+7](https://img.qammunity.org/2020/formulas/mathematics/high-school/1zirgnfq7jfej3ufjq2lm3sqhs10bb4f1o.png)
So substituting this in the above formula to get:
Volume of cylinder =
![\pi r^2(r+7)](https://img.qammunity.org/2020/formulas/mathematics/high-school/zagttsd9airhhb31po7tl3qe5zjf20evk5.png)