Question

Write an expression for the volume of a cylinder with a height 7in. greater than the radius.

Answer 1

v=πr²h

v=πr²(r+7) is your answer

Answer 2

`V=\pi r^(2)(7+r)` or
`V=\pi [r^(3)+7r^(2)]`

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)]`