- #1
The_ArtofScience
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Homework Statement
The function is y = 2 - x. The region is bounded by x = 2 and x = 4. Calculate its volume by the shell method by rotating it by the x axis.
The Attempt at a Solution
This problem has been consuming my mind. I calculated it by the disc method and shell method but I got 2 different answers.
Disc method:
∫ pi (y^2) dx...Evaluated from 2 to 4
∫ pi(2 - x)^2 dx
Result : 8pi/3
Shell method:
∫ 2pi*y*x*dy...Evalluated from -2 to 0.
∫ 2pi(y^2) dy
Result : 16pi/3