Consider the region bounded by y = 1, y = Vz+1, z =0 and z = 3. a) Find the volume of the resulting solid if the region is revolved about y = -1. b) Find the volume of the resulting solid if the region is revolved about the y-axis.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Consider the region bounded by y = 1, y = Vx +1, x = 0 and z =
3.
a) Find the volume of the resulting solid if the region is revolved about y = -1.
b) Find the volume of the resulting solid if the region is revolved about the y-axis.
Transcribed Image Text:Consider the region bounded by y = 1, y = Vx +1, x = 0 and z = 3. a) Find the volume of the resulting solid if the region is revolved about y = -1. b) Find the volume of the resulting solid if the region is revolved about the y-axis.
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