The function defined by y=√√²-x² has as its graph a semicircle of radius r with center at (0,0) (as shown in the figure to the right). Find the volume that results when the semicircle y =√√81-x² is rotated about the x-axis. C Set up the integral that is equal to the volume described. V-104 V= dx -9 (-1,0) (r,0) _y=√√₁²2²_ (r,0) Q

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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The function defined by y=√√²-x² has as its graph a semicircle of radius r with center at (0,0) (as shown in the
figure to the right). Find the volume that results when the semicircle y =√√81-x² is rotated about the x-axis.
C
Set up the integral that is equal to the volume described.
V-104
V=
dx
-9
(-1,0)
(r,0)
_y=√√₁²2²_
(r,0)
Q
Transcribed Image Text:The function defined by y=√√²-x² has as its graph a semicircle of radius r with center at (0,0) (as shown in the figure to the right). Find the volume that results when the semicircle y =√√81-x² is rotated about the x-axis. C Set up the integral that is equal to the volume described. V-104 V= dx -9 (-1,0) (r,0) _y=√√₁²2²_ (r,0) Q
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