Recall that the volume V of a circular cylinder with a base of radius r and height h can be described by the function V = f(r, h) = Tr²h. Compute the differential dV a) dV = b) A company produces steel cylinders with radius r = 22 mm and height h = 45 mm. A coating process increases the radius by 0.5 mm and increases the height by 1.5 mm. Use the differential to estimate the change in volume. dV = mm3

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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ChapterA: Appendix
SectionA.2: Geometric Constructions
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Recall that the volume V of a circular cylinder with a base of radius r and height h can be described
by the function V = f(r, h) = Tr²h. Compute the differential dV
a) dV
b) A company produces steel cylinders with radius r = 22 mm and height h
coating process increases the radius by 0.5 mm and increases the height by 1.5 mm. Use the differential
to estimate the change in volume.
45 mm. A
dV =
mm3
Transcribed Image Text:Recall that the volume V of a circular cylinder with a base of radius r and height h can be described by the function V = f(r, h) = Tr²h. Compute the differential dV a) dV b) A company produces steel cylinders with radius r = 22 mm and height h coating process increases the radius by 0.5 mm and increases the height by 1.5 mm. Use the differential to estimate the change in volume. 45 mm. A dV = mm3
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