A mothball loses volume by evaporation at a rate proportional to its instantaneous area. If the diameter of the ball decreases from 2 cm to 1 cm in 3 months, how long will it take until the ball is practically gone? Show how you derive the answer using dV/dt=kA

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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A mothball loses volume by evaporation at a rate proportional to its instantaneous area.

If the diameter of the ball decreases from 2 cm to 1 cm in 3 months, how long will it take until the ball is practically gone?

Show how you derive the answer using dV/dt=kA 

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