4. Consider the region R bounded by the lines y = -x + 5, y = x + 1 and the y-axis. Find the volume of the solid S1 obtained by rotating the region R about the y-axis. (b) Find the volume of the solid S2 obtained by rotating the region R about the x-axis.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
4.
Consider the region R bounded by the lines y = -x + 5, y = x +1 and the y-axis.
(a)
Find the volume of the solid S1 obtained by rotating the region R about the y-axis.
(b)
Find the volume of the solid S2 obtained by rotating the region R about the x-axis.
Transcribed Image Text:4. Consider the region R bounded by the lines y = -x + 5, y = x +1 and the y-axis. (a) Find the volume of the solid S1 obtained by rotating the region R about the y-axis. (b) Find the volume of the solid S2 obtained by rotating the region R about the x-axis.
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