MTH 314 Study Guide - Final Guide: The Sketch
3 Oct 2019
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Department
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Volume of Revolution Around Y-Axis
Our project is to calculate the volume of a function’s revolution around the Y Axis between a
certain interval
Using these formulas, we shall use the integral of functions and procedures unique to this
concept.
An example is provided to demonstrate the procedure:
Example
Determine the volume of the solid obtained by rotating the portion of the region
bounded by and that lies in
the first quadrant about the y
-axis.
Solution
First, let’s get a graph of the bounding region and a graph of the object. Remember that we
only want the portion of the bounding region that lies in the first quadrant. There is a
portion of the bounding region that is in the third quadrant as well, but we don't want that
for this problem.
