Some Planet Is an Oblate Ellipsoid Rather Than a Sphere $z = 0 \text { corresponds to the equator.) }$

question 112

Multiple Choice

Some planet is an oblate ellipsoid rather than a sphere because of the forces caused by its rotation. The equatorial radius of this planet is 4961 miles and the polar radius Is 4687 miles. Find the equation of the ellipsoid. (Assume that the center of a planet is at the Origin and that the trace formed by the plane $z = 0 \text { corresponds to the equator.) }$

• A)\(\frac { x ^ { 2 } } { 4961 ^ { 2 } } + \frac { y ^ { 2 } } { 4961 ^ { 2 } } - \frac { z ^ { 2 } } { 4687 ^ { 2 } } = 0\).
• B)\(\frac { x ^ { 2 } } { 4961 ^ { 2 } } + \frac { y ^ { 2 } } { 4961 ^ { 2 } } - \frac { z ^ { 2 } } { 4687 ^ { 2 } } = 0\)
• C)\(\frac { x ^ { 2 } } { 4961 ^ { 2 } } - \frac { y ^ { 2 } } { 4961 ^ { 2 } } - \frac { z ^ { 2 } } { 4687 ^ { 2 } } = 1\)
• D)\(\frac { x ^ { 2 } } { 4961 ^ { 2 } } + \frac { y ^ { 2 } } { 4961 ^ { 2 } } + \frac { z ^ { 2 } } { 4687 ^ { 2 } } = 1\)
• E)\(\frac { x ^ { 2 } } { 4961 ^ { 2 } } + \frac { y ^ { 2 } } { 4687 ^ { 2 } } + \frac { z ^ { 2 } } { 4961 ^ { 2 } } = 1\)

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