Question
The radius of an air bubble is increasing at the rate of $\frac{1}{2} \mathrm{~cm} / \mathrm{s}$. At what rate is the volume of the bubble increasing when the radius is $1 \mathrm{~cm}$ ?
Step 1
Step 1: The volume $V$ of a sphere (in this case, the air bubble) is given by the formula $V = \frac{4}{3}\pi r^3$, where $r$ is the radius of the sphere. Show more…
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