A Certain Lunar Crater Is Shaped Approximately as a Paraboloid

question 44

Multiple Choice

A certain lunar crater is shaped approximately as a paraboloid (see figure) . The cross sections of the crater parallel to the lunar surface are circular, with a maximum radius of 80 meters. The depth of the crater is 16 meters. Find an equation for the surface of the crater. [Write your equation such that the bottom of the crater is located at (x, y, z) = (0, 0, 0) . Assume the z-axis is perpendicular to the lunar surface.]

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