y = 2', y= 3z, about the line x = 3 can be computed using the method of washers via an integral V = with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = ane |and B =| with limits of integration a = In either case, the volume is V = cubic units.

y = 2', y= 3z, about the line x = 3 can be computed using the method of washers via an integral V = with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = ane |and B =| with limits of integration a = In either case, the volume is V = cubic units.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
The volume of the solid obtained by rotating the region bounded by y=x^2, y=3x about the line x = 3 can be computed using the method of washers via an integral V= ∫________________ (with lower limit of a and upper limit of b) with limits of integration a=_________ and b=_________ The volume of this solid can also be computed using cylindrical shells via an integral V= ∫_______________ (with lower limt of alpha and upper limit of beta) with limits of integration alpha=_________ and beta=__________ In either case, the volume is V=______________ cubic units
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