An ellipsoid is a 3D shape whose cross sections are ellipses A whispering gallery is a room with a half ellipsoid ceiling If one person whispers from one focus another person can hear them clearly from the other focus Suppose a whispering gallery has 5 foot walls A cross section of the ceiling can be modeled by the ellipse shown below centered at the origin with a horizontal major axis If the maximum height of the ceiling is 20 ft and the width of the room is 50 ft write the equation of the ellipse 201 50 5