cm high and 16 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the meta me sides is 0.1 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it enclose differential for the volume is dr+ and dh = (be careful) approximate volume of material is 3 cm.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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can you help me with this cal 3 homework problem.
Use differentials to estimate the amount of material in a closed cylindrical can that is 40 cm high and 16 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal
in the sides is 0.1 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses.
The differential for the volume is
dV:
dr+
dh
dr
and dh = (be careful)
The approximate volume of material is
cm³.
Transcribed Image Text:Use differentials to estimate the amount of material in a closed cylindrical can that is 40 cm high and 16 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.1 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses. The differential for the volume is dV: dr+ dh dr and dh = (be careful) The approximate volume of material is cm³.
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