Tutorial Exercise Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 64 - x2 y = 0 Step 1 Because the axis of revolution is vertical, use a -Select--- representative rectangle as shown in the figure. 60- 50- 40- y 30 20- 10- 8 -6 -2 0 4. 6. The width Ax indicates that x is the variable of integration. The distance from the center of the rectangle to the axis of revolution is p(x) = x, and the height of the rectangle is h(x) = 64 - Submit Skip (you cannot come back)
Tutorial Exercise Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 64 - x2 y = 0 Step 1 Because the axis of revolution is vertical, use a -Select--- representative rectangle as shown in the figure. 60- 50- 40- y 30 20- 10- 8 -6 -2 0 4. 6. The width Ax indicates that x is the variable of integration. The distance from the center of the rectangle to the axis of revolution is p(x) = x, and the height of the rectangle is h(x) = 64 - Submit Skip (you cannot come back)
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 26E
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