A company produces cylindrical pop cans with internal base radius r=5cm and heig

Question

A company produces cylindrical pop cans with internal base radius r=5cm and height h=15cm. They wish to reduce r by 0.1 cm. In order to keep the volume of pop the same, we find, using differentials, that h should change by:

in runde/files/mdt209-2012.pdf Math 209 (2012) Midterm Examination Multiple Choice Questions. 1. A company produces cylindrical pop cais with internal hase raclios ySem anid height h 15cm. They wisli to resduce r by O.Jemn. In onler to kep tlhe volnme of pop the same, we find, using differentials that h should change by: 6)06) 07 (c) ON (3)0.6(b0.7()ON0.

Explanation / Answer

V = r^2 h = (5^2)(15) = 375

375 = r^2 h

r^2 h = 375

h = 375/r^2

h = (dh/dr) r

h = (-750/r^3)r

h = (-750/5^3)(-0.1) = 0.6

h should change by 0.6 cm.

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