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From the figure consider the representative rectangle. The radius of the solid of revolution obtained by revolving the rectangle about the x-axis is R(x) = y = 25 - To find the volume of a solid of revolution with the -Select-- v|method, use the horizontal axis of revolution. Select-- volume = v = IRC)P dx. disk (R(x shell

From the figure consider the representative rectangle. The radius of the solid of revolution obtained by revolving the rectangle about the x-axis is R(x) = y = 25 - To find the volume of a solid of revolution with the -Select-- v|method, use the horizontal axis of revolution. Select-- volume = v = IRC)P dx. disk (R(x shell

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
Section9.3: Cylinders And Cones
Problem 25E
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From the figure consider the representative rectangle. The radius of the solid of revolution obtained by revolving the rectangle about the x-axis is R(x) = y = 25 - To find the volume of a solid of revolution with the -Select-- v|method, use the horizontal axis of revolution. Select-- volume = v = IRC)P dx. disk (R(x shell
Transcribed Image Text:From the figure consider the representative rectangle. The radius of the solid of revolution obtained by revolving the rectangle about the x-axis is R(x) = y = 25 - To find the volume of a solid of revolution with the -Select-- v|method, use the horizontal axis of revolution. Select-- volume = v = IRC)P dx. disk (R(x shell
So, the volume of the solid of revolution is Volume - V- (25 - x?)2 dx. To find the volume, integrate from x = to x = 5. v'- =[ct - sox? + 625) dx 50x + 625 x 3. 50 -5 + (625 - 5 - 3125 + 3125 15
Transcribed Image Text:So, the volume of the solid of revolution is Volume - V- (25 - x?)2 dx. To find the volume, integrate from x = to x = 5. v'- =[ct - sox? + 625) dx 50x + 625 x 3. 50 -5 + (625 - 5 - 3125 + 3125 15
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