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# help

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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
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#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
+5552
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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

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