Find the volume of the ellipsoid x2+y2+4z2=100x2+y2+4z2=100.

Given the ellipsoid

For the radius in the x-dirextion, y = z = 0, and we have



For the radius in the y-dirextion, x = z = 0, and we have



For the radius in the z-dirextion, x = y = 0, and we have



Thus, the radius of the ellipsoid is given by

Igot 108 hope that’s right !

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