Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X y=sin 1¹ - - 2₁ X= -1 12' x = 0, y= π 12

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis.
y = sin
X
-¹.x=0.y
x = 0, y =
12
1
J
12
The volume of the solid is cubic units.
(Type an exact answer.)
Transcribed Image Text:Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. y = sin X -¹.x=0.y x = 0, y = 12 1 J 12 The volume of the solid is cubic units. (Type an exact answer.)
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