Question

Solid of revolution problem

Answer 1

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Answer 2

Calculate volume of solid obtained by rotating y = 2 - (x/2). It is rotated around the x-axis. It is bounded by y=0, x=1, and x=2

Answer 3

I don't want the answer, I just want to understand how to do this

Answer 4

Region of interest:

Answer 5

The volume is easiest to compute with the disk method:

Hence the volume is
\[V=\pi\int_1^2\left(2-\frac{x}{2}\right)^2\,dx\]