(Volumes of Solids with Known Cross-Sections). Sketch the solid bounded by the surfaces r += = 121, y += = 121

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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1. (Volumes of Solids with Known Cross-Sections). Sketch the solid bounded by the surfaces
z* + = 121, y* +* = 121
122
and find its volume. Hint: the surface r+ = 121 is a right circular cylinder: it is formed of straight lines perpendicular
to the rz-plane coming through points of the circle
Sr+= 121,
lu = 0
in the plane Orz; the surface y +z = 121 is likewise a right circular cylinder. Think what axis (either the r-, or the y-,
or the z-axis) is best suitable to handle the problem.
Please give a complete solution to the problem.
Transcribed Image Text:1. (Volumes of Solids with Known Cross-Sections). Sketch the solid bounded by the surfaces z* + = 121, y* +* = 121 122 and find its volume. Hint: the surface r+ = 121 is a right circular cylinder: it is formed of straight lines perpendicular to the rz-plane coming through points of the circle Sr+= 121, lu = 0 in the plane Orz; the surface y +z = 121 is likewise a right circular cylinder. Think what axis (either the r-, or the y-, or the z-axis) is best suitable to handle the problem. Please give a complete solution to the problem.
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