lornamcintyre3940 lornamcintyre3940
  • 30-03-2018
  • Mathematics
contestada

Find the volume of the ellipsoid x2+y2+9z2=81x2+y2+9z2=81.

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sqdancefan
sqdancefan sqdancefan
  • 03-04-2018
The formula is
.. V = (4/3)π*abc
where a, b, c are the semi-axes of the ellipsoid.

The semi-axes are the values of x, y, z that satisfy the equation when the other terms are zero. Here, they are a=9, b=9, c=3, so the volume is
.. V = (4/3)π*9*9*3 = 324π . . . . cubic units
.. V ≈ 1017.9 units³
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