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 = 16 – x² y = 0 Step 1 Because the axis of revolution is vertical, use a Select- v representative rectangle as shown in the figure. -2 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) = 16 -

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.8: Volumes Of Pyramids And Cones
Problem 13E
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can you please help me to solve this step by step? I'm stuck here, and kindly box your answers so that I will not confused. thanks
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 = 16 – x²
Step 1
Because the axis of revolution is vertical, use a
Select.- v representative rectangle as shown in the figure.
-2
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) = 16 -
Transcribed Image Text: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 = 16 – x² Step 1 Because the axis of revolution is vertical, use a Select.- v representative rectangle as shown in the figure. -2 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) = 16 -
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