An ellipse is one of the shapes called conic sections, which is formed by the intersection of a plane with a right circular cone The general equation of an ellipse centered at (h, k) ( h, k) is (x − h)2 a2 (y − k)2 b2 = 1 ( x − h) 2 a 2 ( y − k) 2 b 2 = 1 when the major axis of the ellipse is horizontalThe given equation is x2 25 y2 9 = 1 x 2 25 y 2 9 = 1 Compare this to the standard form of the equation of a horizontal ellipse centered at the origin given by x2 a2 y2 b2 =1 x 2 a 2 y #3 A solid has a base in the form of the ellipse x^2/25 y^2/16 = 1 Find the volume if every cross section perpendicular to the xaxis is an isosceles triangle whose altitude is 6 inches #4 Use the same base and cross sections as #3, but change the axis to the yaxis
Hyperbolas
