Consider the region R bounded by the line = 42- 8x and the parabola y = 27 – x². %3D To find the volume of the solid when R is revolved around the y-axis, evaluate the integral dx The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter 7)

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 line y = 42 – 8x and the parabola y = 27 – x2.
%3D
To find the volume of the solid when R is revolved around the y-axis, evaluate the integral
dx
The volume of the solid formed when R is revolved around the y-axis is
(Type "pi" to enter 7)
Transcribed Image Text:Consider the region R bounded by the line y = 42 – 8x and the parabola y = 27 – x2. %3D To find the volume of the solid when R is revolved around the y-axis, evaluate the integral dx The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter 7)
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