CPM Homework Help : CALC Problem 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 ✎

Hint:

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

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

More Help:

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

Answer:

r ≈ 1.954 _____
Be mindful of units.