Find the volume of the solid enclosed by the paraboloids z= 16(x^2 +y^2) and z=32-16(x^2+y^2)(adsbygoogle = window.adsbygoogle || []).push({});

i'm not sure how i would find the x bounds for this triple integral. here's my work:

16x^2+16y^2 = 32-16x^2+16y^2 => simplifies to y = +- sqrt(1-x^2) (the y-bounds)

z bounds is already given which is from z= 16x^2+16y^2 to 32-16x^2+16y^2

but how would i find the x bounds (mathematically if possible)? i'm not sure

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# Homework Help: Volume of the solid enclosed by the paraboloids

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