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Question: e otker tezlbooks or the internet for whatever preregtarite informatiern...

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e otker tezlbooks or the internet for whatever preregtarite informatiern yow do not reeal This worksheet is due at the end of the nest class 1. A ylinder is a three-dimensional geometric object with parallel congruent bnses (not uecessarily circles). A right cylinder is a cylinder in which each line segnent connecting a point on one base to the corresponding point on the other base is perpendicular to the bases. What is the volume of a right cylinder with base of aren A and height h For an objoct which is not a right cylinder, we might try to compute its volume na follows Imagine slieing it into thin, parallel slices. Each slice is approximately a right eylinder, with volume equal to the cross-sectional area times thickness (height). We sum up these approaximations and take the limit as the thickness of slices goes to 0, obtaining a definite integral whose value, with luck, will be the volume of the object. 2. For the most part, we shall concentrate on solids of revolution, obtained by rotating plane region about a line (axis) in that plane. (a) A disk is a right cireular cylinder of infinitesimal height. What is the volume of a disk with radius r and thickness (height) Ax? Ax (b) A washer is a disk with a circular hole drilled through its center. What is the volume of a washer with inner radius r, outer radius R, and thickness ΔΖ? Page 1
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