Use the shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 9 – x², y = 0 81 -It 2 81 V =2x[ x19-x*)cx = V =4z[ x9-x)cx = 817 := 817

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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Use the shell method to set up and evaluate an integral that gives the volume of the solid
generated by revolving the plane region about the y-axis.
2
y = 9 – x", y = 0
81
3
81
V =2x[ x{9-x*)cx= °
3
3
V = 4.x[,x9-x³)dx = 817
x(9-x*)dx:
V =27[ x(9-x³)cx ="T
V = 47 x(9-x²)dx = 817
2
2
Transcribed Image Text:Use the shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about the y-axis. 2 y = 9 – x", y = 0 81 3 81 V =2x[ x{9-x*)cx= ° 3 3 V = 4.x[,x9-x³)dx = 817 x(9-x*)dx: V =27[ x(9-x³)cx ="T V = 47 x(9-x²)dx = 817 2 2
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