This solid has a base that is a [b]regular hexagon[/b]. [br]For this solid, cross sections parallel to the yAxis are also regular hexagons.
Suppose each side of this regular hexagonal base = 10. [br][br]Let [b]upper(x) [/b] = the upper function (drawn above the xAxis).[br]Let [b]lower(x) [/b]= the lower function (drawn below the xAxis). [br][br]Author piecewise functions for [b]upper(x) [/b]and[b] lower(x)[/b]. [br]Note how 2 vertices of this regular hexagonal base lie on the xAxis itself.
Write and evaluate definite integral(s) that gives the volume of such a solid described above.