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
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