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4. Consider a horizontal cylinder with radius 1 m whose central axis is 1.5 m above the base of a hemisphere with radius 3 m, as shown in the figure. Find an integral whose value is the volume that is inside of both the pyramid and the cylinder. State the area of a slice and the volume of a slab as functions of a variable. -2 0 2 4-4 -2 2 1 0 2 4

4. Consider a horizontal cylinder with radius 1 m whose central axis is 1.5 m above the base of a hemisphere with radius 3 m, as shown in the figure. Find an integral whose value is the volume that is inside of both the pyramid and the cylinder. State the area of a slice and the volume of a slab as functions of a variable. -2 0 2 4-4 -2 2 1 0 2 4

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.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...
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4. Consider a horizontal cylinder with radius 1 m whose central axis is 1.5 m above the base of a hemisphere with radius 3m, as shown in the figure. Find an integral whose value is the volume that is inside of both the pyramid and the cylinder. State the area of a slice and the volume of a slab as functions of a variable. 3 -4 -2 2 4 -4 -2 2.
Transcribed Image Text:4. Consider a horizontal cylinder with radius 1 m whose central axis is 1.5 m above the base of a hemisphere with radius 3m, as shown in the figure. Find an integral whose value is the volume that is inside of both the pyramid and the cylinder. State the area of a slice and the volume of a slab as functions of a variable. 3 -4 -2 2 4 -4 -2 2.
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