a volleyball has a diameter of 10 inches. a pump can inflate the ball at a rate of 325 inches cubed per minute. How long will it take to inflate the ball?

Guest Feb 23, 2017

#1**0 **

you need to find the volume using pi and the raduis (half of diameter) the divide by 325 and you have the time

Guest Feb 23, 2017

#2**+6 **

Well how many cubic inches are in the volleball?

\(V= \frac{4}{3}\pi r^{3}\)

If the diameter is 10 inches, the radius is 5 inches.

r = 5

\(V= \frac{4}{3}\pi (5^{3})\)

\(V= \frac{4}{3}\pi (125)\)

\(V = \frac{500\pi}{3}\)

V ≈ 523.5988 cubic inches.

So if the pump can put in 325 cubic inches per minute, and the volleyball has 523.5988 cubic inches, it will take 523.5988/325 ≈ 1.611 minutes to fill. :)

hectictar
Feb 23, 2017