Mathematics, 04.04.2020 14:26 peep372
A torus is formed by rotating a circle of radius r about a line in the plane of the circle that is a distance R (> r) from the center of the circle. Find the volume of the torus.
Answers: 1
centered at some point 
on the 
-axis. This circle has equation
-axis to get a torus. Using the shell method, the volume of the resulting torus is
.
is an odd function, so the integral over ![\left[-\frac\pi2,\frac\pi2\right]](/tpl/images/0582/4876/ba190.png)
is 0. This leaves us with
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A torus is formed by rotating a circle of radius r about a line in the plane of the circle that is a...
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