3. The volume of a right circular cylinder with base radius r and height h is given by V = πr²h Find the differential of V as a function of r and h. (a) (b) Given that a closed cylindrical shell is 10 cm high and 2 cm in diameter and that the top and the bottom are 0.1 cm thick and the sides are 0.03 cm thick, estimate the volume of the shell using differentials.

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
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3. The volume of a right circular cylinder with base radius r and height h is given by
V = πr²h
Find the differential of V as a function of r and h.
(a)
(b)
Given that a closed cylindrical shell is 10 cm high and 2 cm in diameter and that
the top and the bottom are 0.1 cm thick and the sides are 0.03 cm thick, estimate the
volume of the shell using differentials.
Transcribed Image Text:3. The volume of a right circular cylinder with base radius r and height h is given by V = πr²h Find the differential of V as a function of r and h. (a) (b) Given that a closed cylindrical shell is 10 cm high and 2 cm in diameter and that the top and the bottom are 0.1 cm thick and the sides are 0.03 cm thick, estimate the volume of the shell using differentials.
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