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7-61.

Sam the snowman has a spherical head that is melting at a rate of 12 in3 per hour. Assume that as it melts, it remains spherical. Find the radius of Sam's head when the radius is changing at 0.25 inches per hour. Homework Help ✎

$V=\frac{4}{3}\pi r^{3}$

How can you construct an equation that describes how the volume of Sam's head is changing over time?

$\frac{dV}{dt}=-12, \ \ \ \frac{dr}{dt}=-0.25$

r ≈ 1.954 _____
Be mindful of units.