The axes of two circular cylinders of radius a intersect at right angles. Show that the volume common to both cylinders may be expressed as the triple integral

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 3E
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14
The axes of two circular cylinders of radius a
intersect at right angles. Show that the volume
common to both cylinders may be expressed as
the triple integral
S.
V(a²-y²)
dz
a
8.
dy
dx
and hence evaluate it.
Transcribed Image Text:14 The axes of two circular cylinders of radius a intersect at right angles. Show that the volume common to both cylinders may be expressed as the triple integral S. V(a²-y²) dz a 8. dy dx and hence evaluate it.
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