A region bounded by f(x) = x², y 0, and x = 4 is shown below. Find the volume of the solid formed by revolving the region about the x-axis. AY 9 8 7 6 5- 3 2 1 X 1 2 3 45 6 7 8 9 256 O V = 256 O V = π 5 O V=512 T O V = 256 n

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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A region bounded by f(x) = x², y = 0, and x = 4 is shown below.
Find the volume of the solid formed by revolving the region about the x-axis.
6-
5.
4-
-4 1 2 3 45 6 7 8 9
256
OV =
256
O V =
O V= 512 T
O V = 256 n
APR
12
stv A E
MacBook Air
Transcribed Image Text:A region bounded by f(x) = x², y = 0, and x = 4 is shown below. Find the volume of the solid formed by revolving the region about the x-axis. 6- 5. 4- -4 1 2 3 45 6 7 8 9 256 OV = 256 O V = O V= 512 T O V = 256 n APR 12 stv A E MacBook Air
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