A solid region has a circular base of radius 3 whose cross-sections perpendicular to the x-axis are equilateral triangles.
Set up, but do not evaluate, an integral equal to the volume of this solid region.Hint: the area of an equilateral triangle with side length s is (s^2/4)(√3.)
radius=3
so, we can get equation of circle
we can solve for y
now, we can find side of equilateral triangle
now, we can find area of triangle
now, we can set up integral for volume
now, we can solve each integrals
and combine them
.............Answer
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