Bullet function is given by $y = 16 - x^2 - z^2$ to the right of the $xz-$plane.
I have set up the following integral but not sure whether it is true or not. $\int_{-4}^{4} \int_{0}^{2π} \int_{0}^{4} (16-r^2) r dr d \theta dz$.
Bullet function is given by $y = 16 - x^2 - z^2$ to the right of the $xz-$plane.
I have set up the following integral but not sure whether it is true or not. $\int_{-4}^{4} \int_{0}^{2π} \int_{0}^{4} (16-r^2) r dr d \theta dz$.
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Since it is $y = 16 - x^2 - z^2$, so think about apply cylindrical coordinates in the way that $r^2 = x^2 + z^2$. And since you are trying to find the volume, shouldn't your integrand be $1*Jacobian$?