Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the radius of the tumor to decrease at a rate of 9 millimeters per month. At what rate is the surface area of the tumor decreasing when the radius is 2 mm?
A) Surface area is decreasing at the rate of 288π mm2/month.
B) Surface area is decreasing at the rate of 72π mm2/month.
C) Surface area is decreasing at the rate of 32π mm2/month.
D) Surface area is decreasing at the rate of 16π mm2/month.
E) Surface area is decreasing at the rate of 144π mm2/month.
Correct Answer:
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