The volume of a spherical balloon is increasing at a constant rate of \(32\pi\text{ cm}^3\text{ s}^{

Question

The volume of a spherical balloon is increasing at a constant rate of $32\pi\text{ cm}^3\text{ s}^{-1}$. Find the rate of increase of its radius, $r$ cm, at the instant when $r=4$.

Accepted Answer

$\dfrac12\text{ cm s}^{-1}$

Connected rates of change

Connected rates of change

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