Consider the region R bounded by the line y = 42- 8x and the parabola y = 27 - x2. To find the volume of the solid when R is revolved around the y-axis, evaluate the integral 8 dx 2 The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter T)

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