and then with the (b) cyli For the disk method, cons quadrant rotated around along with at least one dis
and then with the (b) cyli For the disk method, cons quadrant rotated around along with at least one dis
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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Question

Transcribed Image Text:2
Show that the volume of a hemisphere with radius r is r³ first with the (a) disk
3
method and then with the (b) cylindrical shells method.
√r²x² in the first
a. For the disk method, consider the region bound by y =
quadrant rotated around the x-axis. Sketch the outline of the shape formed
along with at least one disk below.
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