Consider the region R bounded by the parabola y = 49 - ² and the x-axis. To find the volume of the solid when R is revolved around the y-axis using the method of cylindrical shells, evaluate the integral ? C The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter T) Use exact values.

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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Consider the region R bounded by the parabola y = 49 - x² and the x-axis.
To find the volume of the solid when R is revolved around the y-axis using the method of
cylindrical shells, evaluate the integral
?
The volume of the solid formed when R is revolved around the y-axis is
(Type "pi" to enter π) Use exact values.
Transcribed Image Text:Consider the region R bounded by the parabola y = 49 - x² and the x-axis. To find the volume of the solid when R is revolved around the y-axis using the method of cylindrical shells, evaluate the integral ? The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter π) Use exact values.
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