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(5) Compute the volume of the solid generated by revolving the region bounded by y and line y = z about each coordinate axis (Both z and y axis) use Washer Method.

(5) Compute the volume of the solid generated by revolving the region bounded by y and line y = z about each coordinate axis (Both z and y axis) use Washer Method.

Elementary Geometry For College Students, 7e
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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Question Five (1) The solid lies between planes perpendicular to the z-axis at z = 0 and r = 4. The cross-sections perpendicular to the axis on the interval 0≤x≤4 are square whose diagonals rum from the parabola y = -√ to the parabola y = √F. (Find the volume using Slicing method) (2) The solid lies between planes perpendicular to the z-axis at x = -1 and r= 1. The cross-sections perpendicular to the z-axis between these planes are squares whose diagonals run from the semicircle y = -√1-2² to the semicircle y = √1-( Find the volume using Slicing method) (3) Find the volumes of the solids generated by revolving the regions bounded by the lines and curves about the x-axis use Disk method for (a) y = ¹, y = 0, r=1, r=3. (b) y=1/(2√7) and the r-axis from r=1 to z = 4. (4) The region in the first quadrant bounded above by the parabola y = r², below by the z-axis, and on the right by the line z = 2 (Find the volume use Washer Method). (5) Compute the volume of the solid generated by revolving the region bounded by y = r² and line y = r about each coordinate axis (Both r and y axis) use Washer Method.
Transcribed Image Text:Question Five (1) The solid lies between planes perpendicular to the z-axis at z = 0 and r = 4. The cross-sections perpendicular to the axis on the interval 0≤x≤4 are square whose diagonals rum from the parabola y = -√ to the parabola y = √F. (Find the volume using Slicing method) (2) The solid lies between planes perpendicular to the z-axis at x = -1 and r= 1. The cross-sections perpendicular to the z-axis between these planes are squares whose diagonals run from the semicircle y = -√1-2² to the semicircle y = √1-( Find the volume using Slicing method) (3) Find the volumes of the solids generated by revolving the regions bounded by the lines and curves about the x-axis use Disk method for (a) y = ¹, y = 0, r=1, r=3. (b) y=1/(2√7) and the r-axis from r=1 to z = 4. (4) The region in the first quadrant bounded above by the parabola y = r², below by the z-axis, and on the right by the line z = 2 (Find the volume use Washer Method). (5) Compute the volume of the solid generated by revolving the region bounded by y = r² and line y = r about each coordinate axis (Both r and y axis) use Washer Method.
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