Section 6.3 Volume by Slicing (for Math 2)
General Slicing Method for Volume
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Volume of a Solid of Revolution – The Disk Method
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Example 1
The region bounded by the x-axis, the graph of the equation
and the lines
is revolved about the x axis. Find the volume of the resulting solid.
and
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Volume of a Solid of Revolution – The Washer Method
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Example 2
The region bounded by the graphs of
and
and the lines
revolved about the x-axis. Find the volume of the resulting solid of revolution.
and
Instead of a solid formed by revolving a region about the x-axis, we could have a solid that is
formed when a region is revolved about the y-axis.
is
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Example 3
The region bounded by the y-axis, the graphs of
y-axis. Find the volume of the resulting solid.
,
, and
is revolved about the
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Example 4
The region in the first quadrant bounded by the graphs of
the y-axis. Find the volume of the resulting solid.
and
is revolved about