a) The shaded area enclosed by the curve y = x? - 4 and the x-axis is rotated around the x-axis to form a solid of revolution. Calculate the volume of the solid formed. b) The same curve y = x² - 4 bounded by the y-axis and the lines y = 0 and y = 2, is rotated around the y-axis to form a solid of revolution. Calculate the volume of the solid.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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1.
a) The shaded area enclosed by the curve y = x² – 4 and the x-axis is rotated around the
x-axis to form a solid of revolution. Calculate the volume of the solid formed.
b) The same curve y = x² – 4 bounded by the y-axis and the lines y = 0 and y = 2, is
rotated around the y-axis to form a solid of revolution.
Calculate the volume of the solid.
Transcribed Image Text:1. a) The shaded area enclosed by the curve y = x² – 4 and the x-axis is rotated around the x-axis to form a solid of revolution. Calculate the volume of the solid formed. b) The same curve y = x² – 4 bounded by the y-axis and the lines y = 0 and y = 2, is rotated around the y-axis to form a solid of revolution. Calculate the volume of the solid.
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