Question
The base of a solid is the region R in the first quadrant enclosed by the
parabola y=x² +2, the line y= 6, and the y-axis, as shown below. Cross sections of the solid
perpendicular to the y-axis are regular hexagons, whose area formula is A=
3/3
-(² , where is
the side length. Find the vohume of the solid.
61
R
2
Expand
Transcribed Image Text

The base of a solid is the region R in the first quadrant enclosed by the parabola y=x² +2, the line y= 6, and the y-axis, as shown below. Cross sections of the solid perpendicular to the y-axis are regular hexagons, whose area formula is A= 3/3 -(² , where is the side length. Find the vohume of the solid. 61 R 2

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Applications of Integration

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