Respuesta :
Answer:
[tex]384\pi (in^{3} )[/tex]
Step-by-step explanation:
In order to solve this you just have to remember the formula for volume of a circular prism and it is:
[tex]r^{2} *Height*\pi[/tex]
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:
[tex]r^{2} *Height*\pi\\4^{2} *24*\pi\\16*24*\pi \\384\pi[/tex]
So the volume of water flowing through the pipe and into the tank every second is [tex]384\pi (in^{3} )[/tex]