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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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