86 1. (Volumes of Solids with Known Cross-Sections). Sketch the solid bounded by the surfaces 1²+² = 49, y² + z² = 49 and find its volume. Hint: the surface 2² +2²= 49 is a right circular cylinder. it is formed of straight lines perpendicular to the rz-plane coming through points of the circle [r² +2²= 49, y=0 in the plane Orz; the surface y² + ² = 49 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. (Volumes of Solids with Known Cross-Sections). Sketch the solid bounded by the surfaces
2² +2? = 49, y? +2² = 49
86
and find its volume. Hint: the surface z? +2? = 49 is a right circular cylinder. it is formed of straight lines perpendicular
to the rz-plane coming through points of the circle
S2? +2 = 49,
ly=0
%3!
in the plane Orz; the surface y +2² = 49 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 2² +2? = 49, y? +2² = 49 86 and find its volume. Hint: the surface z? +2? = 49 is a right circular cylinder. it is formed of straight lines perpendicular to the rz-plane coming through points of the circle S2? +2 = 49, ly=0 %3! in the plane Orz; the surface y +2² = 49 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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