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The radius of a mini basketball is 4inches. A pump can inflate the ball at a rate of 6 cubic inches per second. How long will it take to inflate the ball? Round to the nearest tenth

 Mar 30, 2020
 #1
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Assuming the problem means that the basketball has a radius of 4 inches when it is FILLED up, then here we go:

 

Sphere: \(\frac{4}{3}\pi{r^3}\)

 

Substitute and solve for volume:

\(\frac{256}{3}\pi\text{ cubic inches}\)

 

We divide:

\(\frac{256/6}{3}\pi\)

 

We evaluate:

44.6804288510548372040483

 

We round:

44.7 seconds

 Mar 30, 2020

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