A substance evaporates at a rate proportional to the exposed surface. If a sphericalmothball of radius 1/2 cm has radius 0.4 cm after 6 months, how long will it take:(a) For the radius to be 1/4 cm?(b) For the volume of the mothball to be half of what it was originally?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A substance evaporates at a rate proportional to the exposed surface. If a spherical
mothball of radius 1/2 cm has radius 0.4 cm after 6 months, how long will it take:
(a) For the radius to be 1/4 cm?
(b) For the volume of the mothball to be half of what it was originally?

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