If a region in the plane is revolved about a line, the resulting solid is a solid of revolution,
and the line is called the axis of revolution.
To see how to use the volume of a disk to find the volume of a general solid of revolution, consider a solid of revolution formed by revolving the plane region about the indicated axis.
V=
Here are examples that explain how this method works.
VolumeOfRevolution(sqrt(sin(x)),
0,0..π,'axis'='horizontal',
'distancefromaxis'=0,output=
plot)
VolumeOfRevolution(sqrt(sin(x)),
0,0..π,'axis'='horizontal',
'distancefromaxis'=0,output=
animation)
This figure shows adding disks in the general solid, which is the basic concept of the disk method.
As divided terms are decreasing to zero, or subinterval n is increasing to infinity,
it makes the formula above.
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