# volume - y-axis and the parabola y 2 = 6-x Find the volume...

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In 1–6, the base of a solid is the region enclosed by the ellipse x 2 9 + y 2 4 = 1 . Each cross section perpendicular to the x -axis is as described. Find the volume of the solid. 1. A square 64 2. An isosceles right triangle with one leg in the base of the solid 32 3. An isoceles right triangle with its hypotenuse in the base of the solid 16 4. An equilateral triangle A eq = 3 4 S 2 16 3 5. An isosceles triangle of height 2 6 π 6. A semi-elliptical region of height 2 A = 1 2 πab See answer to Ex. 2, p. 468. 3 π 2 In 7–10, the base of a solid is the region enclosed by the
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Unformatted text preview: y-axis and the parabola y 2 = 6-x . Find the volume of the solid if each cross section perpendicular to the x-axis is as described. 7. An isosceles right triangle with one leg in the base of the solid 36 8. An isosceles right triangle with its hypotenuse in the base of the solid 18 9. An equilateral triangle 18 √ 3 10. A semi-elliptical region of height 2 2 3 π 6 3 2 = 4 π √ 6...
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## This note was uploaded on 05/17/2011 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.

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