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The rate of change of volume V of a melting snowball is proportional to the surface area

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The rate of change of volume V of a melting snowball is proportional to the surface area S of the ball; that is, dV/dt = -kS, where k is a positive constant. If the radius of the ball at t = 0 is r = 2 and at t = 10 is r = 0.5, show that r = 3/20 t + 2.
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dV dt kS Since V 43 r 3 and ...View the full answer


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Calculus

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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