SOLUTION: Find the volume of the solid of revolution formed by revolving the triangle whose vertices are (2, 0, 0), (1, 0, 1), and (1, 0, 0) around the z-axis

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Question 1090452: Find the volume of the solid of revolution formed by revolving the triangle whose vertices are (2, 0, 0), (1, 0, 1), and (1, 0, 0) around the z-axis
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If you look at the xz plane, the triangle looks like this,
.
.
.
.
.
.
.
So rotating the triangle will lead to a cone with radius of 1 and height of 1.
V=%28pi%2F3%29r%5E2%2Ah
Substituting,
V=%28pi%2F3%291%5E2%2A1
V=pi%2F3