Answer:
[tex]\pi r^2(r+7)[/tex]
Step-by-step 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 = [tex] \pi r ^ 2 h [/tex]
where [tex]r[/tex] radius of the base of the cylinder,
[tex]h[/tex] is the height of the cylinder.
Here, the height of the cylinder is 7 more than its radius: [tex]h = r+7[/tex]
So substituting this in the above formula to get:
Volume of cylinder = [tex]\pi r^2(r+7)[/tex]
