Suppose that R is the finite region bounded by f(x)=√x and f(x)= =√x and f(x) = 3 Find the exact value of the volume of the object we obtain when rotating R about the x-axis. V 77″ 2 V = X 0 162π 5 27 2 Find the exact value of the volume of the object we obtain when rotating R about the y-axis. πT

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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Find the exact value of the volume of the object we obtain when rotating R about the x-axis.
Suppose that R is the finite region bounded by f(x) = √x and f(x) :
-
V=
=
77π
2
V =
X OF
162π
5
27
Find the exact value of the volume of the object we obtain when rotating R about the y-axis.
π
Transcribed Image Text:X 3 Find the exact value of the volume of the object we obtain when rotating R about the x-axis. Suppose that R is the finite region bounded by f(x) = √x and f(x) : - V= = 77π 2 V = X OF 162π 5 27 Find the exact value of the volume of the object we obtain when rotating R about the y-axis. π
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