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.
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
Problem 57CR
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