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2 answers:
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We can define the base of each equilateral section as 
since this is the distance from the x-axis to the function 
.
An equilateral triangle's area can have a function defined solely by the base. Since all sides are equal, the height of the triangle can be found via pythagorean theorem as:
But we know that the base
is a function of x. We also can then state that Area 
is also a function of x. Specifically: 
.
Then if we integrate the area function A(x) from 0 to pi, we get the total volume:
An equilateral triangle's area can have a function defined solely by the base. Since all sides are equal, the height of the triangle can be found via pythagorean theorem as:
But we know that the base
Then if we integrate the area function A(x) from 0 to pi, we get the total volume: