Question 1192228
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No figure is shown; but the description is clear.  The horizontal cross section of the solid shows a circle inscribed in an equilateral triangle with side length 6.<br>
Drawing the three altitudes of the triangle divides it into 6 congruent 30-60-90 right triangles; knowing the relationship between the side lengths of those triangles shows the radius of the circle to be sqrt(3).<br>
The volume of the cylinder is then {{{(pi)(r^2)(h)=(pi)(3)(2)=6pi}}}<br>
ANSWER: 6pi<br>