Question

Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water. What is the exact volume, in cubic inches, of water flowing out of the pipe every second? Leave your answer in terms of π.

Answer 1

`384\pi (in^(3) )`

Explanation:

In order to solve this you just have to remember the formula for volume of a circular prism and it is:

`r^(2) *Height*\pi`

The radius of the pipe is 4 inches, and the water is flowing at 2 feet per second, that would be height, we know that 2 feet are 24 inches so we now just insert the values we have into the formula:

`r^(2) *Height*\pi\\4^(2) *24*\pi\\16*24*\pi \\384\pi`

So the volume of water flowing through the pipe and into the tank every second is
`384\pi (in^(3) )`