I'm a bit confused about how I would be able to find the volume bounded by a cone of known theta and an oblate spheroid of b = c. I'm trying to use triple integrals for the solution, and I think I understand how I can find the volume for the region bounded by a cone and a spheroid, as at any point the radius of the spheroid is constant. However, how would I be able to do that for an oblate spheroid in particular? The limits are particularly confusing me.
2026-04-06 04:16:32.1775448992
Volume bounded between an Ellipsoid and a Cone?
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Using cylindrical coordinates; due to axi-symmetry triple integrals get simpler.
Equation of oblate ellipsoid meridian
$$ (z/a)^2 + (x^2 +y^2)/b^2 =1 $$
Equation of cone
$$ (x^2+ y^2)= (z-15)^2 \tan^2\theta $$
Sketch them together and please take it further on.