3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus rectum (= 2) about the y-axis.

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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3. Find the volume generated by revolving the area bounded by the parabola
y² = 8x and its latus rectum (2) about the y-axis.
4. Find the volume generated by revolving the area cut off from the parabola
y = 4x - x² by the x-axis about the line y = 6.
5. Find the volume of solid generated by revolving the region bounded by the x-axis
and one arc of Y = sin about the x-axis.
6. Find the volume of solid generated by revolving bout the
y² = 4x, x = 0, y = 4 about y = 4.
32
d. 3
cubic units
e. 15
π cubic units
256
-π cubic units
f 167 cubic units
Transcribed Image Text:3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus rectum (2) about the y-axis. 4. Find the volume generated by revolving the area cut off from the parabola y = 4x - x² by the x-axis about the line y = 6. 5. Find the volume of solid generated by revolving the region bounded by the x-axis and one arc of Y = sin about the x-axis. 6. Find the volume of solid generated by revolving bout the y² = 4x, x = 0, y = 4 about y = 4. 32 d. 3 cubic units e. 15 π cubic units 256 -π cubic units f 167 cubic units
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