Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3, and the x-axis is 1. rotated 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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Find the volume of the solid obtained when the region bounded by the line y = 2x, the line = 3, and the x-axis is
1.
rotated about the y-axis.
Find the volume of the solid obtained when the region bounded by the curve y = sin(x), 0 < x < r, and the x-axis is
2.
rotated about the y-axis.
3.
Find the volume of the solid obtained when the region bounded by the lines y = x, x = 1, x = 2 and the x-axis is
rotated about the y-axis.
Transcribed Image Text:Find the volume of the solid obtained when the region bounded by the line y = 2x, the line = 3, and the x-axis is 1. rotated about the y-axis. Find the volume of the solid obtained when the region bounded by the curve y = sin(x), 0 < x < r, and the x-axis is 2. rotated about the y-axis. 3. Find the volume of the solid obtained when the region bounded by the lines y = x, x = 1, x = 2 and the x-axis is rotated about the y-axis.
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