A hole of radius 3 is bored through the center of a sphere of radius 5. Let the cross-section of the sphere through the center be the circle x^2+ y^2 = 25 cross-sections of the hole be defined by lines x =− 3 and x =3. Set up the definite integral that will solve for the volume of the remaining portion of the sphere using: Vertical strips? Horizontal strips?

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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A hole of radius 3 is bored through the center of a sphere of radius 5. Let the cross-section of the sphere through the center be the circle x^2+ y^2 = 25 cross-sections of the hole be defined by lines x =− 3 and x =3. Set up the definite integral that will solve for the volume of the remaining portion of the sphere using: Vertical strips? Horizontal strips?

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