Calculus problem #1922

Calculus Level 4

What is the volume of the structure bounded by the regions x 2 + 2 y 2 + z 16 x^2 + 2y^2 + z \leq 16 , 0 x 2 0 \leq x \leq 2 , 0 y 2 0 \leq y \leq 2 and z 0 z \geq 0 ?


The answer is 48.

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