What is the exact volume of the solid stretching over the x-interval [0, 2] whose cross-sections are equilaterial triangles

Question

What is the exact volume of the solid stretching over the x-interval
[0, 2] whose cross-sections are equilaterial triangles where the length of
the side of a cross-section at is given by the function
f(x)=√√√36-x²?
Note: Maintain fractions if applicable.

Kunduz · Accepted Answer

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