The region bounded by f(x) = - 3x² + 18x + 81, x = 0, and y = 0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.

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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The region bounded by f(x) = – 3x2 + 18x + 81, x = 0, and y = 0 is rotated about the y-axis. Find
the volume of the solid of revolution.
Find the exact value; write answer without decimals.
Transcribed Image Text:The region bounded by f(x) = – 3x2 + 18x + 81, x = 0, and y = 0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.
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