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 (² , where is the side length. Find the volume of the solid. R 2

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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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
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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