Question

find the volume of ellipsoidal solid given by 4x^2+4y^2+z^2=16

Answer 1

rewrite in standard form

divide equation by 16
\[\frac{x^2}{4} + \frac{y^2}{4} +\frac{z^2}{16} = 1\]

http://en.wikipedia.org/wiki/Ellipsoid#Volume

a = 2, b=2, c = 4

Answer 2

\[\int\limits_{0}^{2}\int\limits_{0}^{2}\int\limits_{0}^{4}4x^2+4y^2+z^2dzdydx\]

Answer 3

is that true

Answer 4

@dumbcow