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# A spherical balloon with radius $r$ inches has volume $V(r) = \frac{4}{3} \pi r^3$. Find a function that represents the amount of air required to inflate the balloon from a radius of $r$ inches to a radius of $(r + 1)$ inches.

## 4$\pi\left(r^{2}+r+\frac{1}{3}\right)$

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