Truncated ellipsoid, or not

Calculus Level 4

Let S S be the volume of the intersection of x 2 a 2 + y 2 b 2 + z 2 c 2 ≤ 1 \frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}\leq1 and A x + B y + C z ≤ D . Ax+By+Cz\leq D. Does there exist a unique closed formula for S S only in terms of a , b , c , A , B , C , D a,b,c,A,B,C,D ?

No None of the other Impossible to know Yes

Ραμών Αδάλια by Ραμών Αδάλια , 22, Spain

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1 solution

D G
Dec 30, 2017

You should probably specify what you mean by "unique closed formula"- that's not really mathematically meaningful.

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