An ellipsoid is created by rotating the ellipse $4 x ^ { 2 } + y ^ { 2 } = 16$ about the $x$-axis. Find the equation of the ellipsoid.

Name: An ellipsoid is created by rotating the ellipse $4 x ^ { 2 } + y ^ { 2 } = 16$ 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 $4 x ^ { 2 } + y ^ { 2 } = 16$ about the $x$-axis. Find the equation of the ellipsoid.

An Ellipsoid Is Created by Rotating the Ellipse 4x2+y2=164 x ^ { 2 } + y ^ { 2 } = 164x2+y2=16

An Ellipsoid Is Created by Rotating the Ellipse $4 x ^ { 2 } + y ^ { 2 } = 16$