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# Volume of a Sphere

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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

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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