Question

If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the middle

Answer 1

Answer:
`9\pi \ in.^2`

Explanation:

Given

The height of the cylinder is
`h=7\ in.`

The volume of the cylinder is
`V=63\pi \ in.^3`

The volume of the cylinder is the product of area and height

`\Rightarrow V=\pi r^2h\\`

Insert the values

`\Rightarrow 63\pi =A* 7\\\\\Rightarrow A=(63\pi)/(7)\\\\\Rightarrow A=9\pi\ in.^2`

Thus, the area of the cross-section is
`9\pi \ in.^2`