A solid dome is to be constructed with the ellipse x^2+3y^2=6 as a base. Using infinitely many semi-circles, determine the volume that this solid will generate. The cross sectional area is perpendicular to the x-axis.

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A: Given:

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A: If  you like the solution then please give it a thumbs up.. The Answer is:     Volume = 4π3

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Q: A solid dome is to be constructed with the ellipse x2 + 3y² = 6 as a base. Using infinitely many…

A: Given that  Ellipse x^2+3y^2=6 To find the volume of the solid will generate

Q: y = 9x² and y = 0 = about x = -4

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.