An ellipsoid is created by rotating the ellipse $6 x ^ { 2 } + y ^ { 2 } = 36$ about the $x$-axis. Find the equation of the ellipsoid.

Name: An ellipsoid is created by rotating the ellipse $6 x ^ { 2 } + y ^ { 2 } = 36$ about the $x$-axis. Find the equation of the ellipsoid.
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The Answer of An ellipsoid is created by rotating the ellipse $6 x ^ { 2 } + y ^ { 2 } = 36$ about the $x$-axis. Find the equation of the ellipsoid.

An Ellipsoid Is Created by Rotating the Ellipse 6x2+y2=366 x ^ { 2 } + y ^ { 2 } = 366x2+y2=36

An Ellipsoid Is Created by Rotating the Ellipse $6 x ^ { 2 } + y ^ { 2 } = 36$