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Answer:
Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:
where:
a=0
so the volume becomes:
This can be simplified to:
and the integral can be rewritten like this:
which is a standard integral so we solve it to:
so we get:
which yields:
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In order to derive the base of a triangle from its area, you need its height as well.
In fact, if we solve the area formula for the base, we have
So, the base length would be
where h is the height relative to the base you're interested in.