A solid lies between two planes perpendicular to the x-axis at x = 0 and x = 12. The cross-sections by planes to the line y = X as shown in perpendicular to the x-axis are circular disks whose diameters run from the line y = the accompanying figure. Explain why the solid has the same volume as a right circular cone with base radius 5 and height 12. The radius of a circular cross section of the solid at any value of x is. The height of the solid is. y=x y=

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.CT: Test
Problem 8CT: Determine whether the statement is true or false. a A right circular cone has exactly two bases. b...
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A solid lies between two planes perpendicular to the x-axis at x = 0 and x = 12. The cross-sections by planes
perpendicular to the x-axis are circular disks whose diameters run from the line y = to the line y = X as shown in
the accompanying figure. Explain why the solid has the same volume as a right circular cone with base radius 5 and
height 12.
The radius of a circular cross section of the solid at any value of x is
The height of the solid is
y=x
X
12 X
Transcribed Image Text:X A solid lies between two planes perpendicular to the x-axis at x = 0 and x = 12. The cross-sections by planes perpendicular to the x-axis are circular disks whose diameters run from the line y = to the line y = X as shown in the accompanying figure. Explain why the solid has the same volume as a right circular cone with base radius 5 and height 12. The radius of a circular cross section of the solid at any value of x is The height of the solid is y=x X 12 X
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