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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Definitions:

Canalization

Limitation on variance of expression of certain inherited characteristics.

Concordance

Agreement, harmony, or compatibility between opinions or actions.

Monozygotic Twins

Twins who originate from a single fertilized egg, making them genetically identical.

Heritability

The proportion of observed variation in a particular trait, within a population, that can be attributed to inherited genetic factors.