In Exercises 37 and 38, you will need to know that a closed cylinder of radius R

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In Exercises 37 and 38, you will need to know that a closed cylinder of radius R and length L has volume V = πR2L and surface area S = 2πRL + 2πR2. The volume of a hemisphere of radius R is V = 2/3πR3 and its surface area is S = 2πR2.


A bacterium is shaped like a cylindrical rod with two hemispherical “caps” on the ends. If the volume of the bacterium is fixed, what must be true about its radius R and length L to achieve minimum surface area?


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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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