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Find the volume of the solid enclosed by the paraboloids z = (x^2 + y^2 ) and z = 32 − ( x^2 + y^2) .

To make this problem easier to look at I resorting to making it into cylindrical coordinates.

{r, theta, z| 0< r< 1, 0<theta<2pi, r< z< 32-r}

Every time I solve for this I end up getting 31pi and I'm being told it's constantly wrong.

To make this problem easier to look at I resorting to making it into cylindrical coordinates.

{r, theta, z| 0< r< 1, 0<theta<2pi, r< z< 32-r}

Every time I solve for this I end up getting 31pi and I'm being told it's constantly wrong.

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