SOLUTION: The equation of an ellipsoid is x^2/a^2 + y^2/b^2 + z^2/c^2 = 1. The volume of an ellipsoid is V = (4/3)*pi*abc. Find the volume of the ellipsoid whose equation is 2x^2 + 4y^2 + 8z

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Question 1064978: The equation of an ellipsoid is x^2/a^2 + y^2/b^2 + z^2/c^2 = 1. The volume of an ellipsoid is V = (4/3)*pi*abc. Find the volume of the ellipsoid whose equation is 2x^2 + 4y^2 + 8z^2 = 64.
Answer by Alan3354(69443) About Me  (Show Source):
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Find the volume of the ellipsoid whose equation is 2x^2 + 4y^2 + 8z^2 = 64.
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2x^2 + 4y^2 + 8z^2 = 64
x^2/32 + y^2/16 + z^2/8 = 1
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V = (4pi/3)*4sqrt(2)*4*2sqrt(2)
V = 256pi/3 cubic units