Volume of a solid with Triple Integral

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I need to find the volume of the following solid Q using triple integral

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I am confuse, what are the limits of integration? please give me some hint

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We can proceed for example by slices orthogonal to $y$ axis obtaining this set up

$$V=\int_1^3 dy \int_{\frac {y^2} 4}^4dz\int_0^{\sqrt{4z-y^2}} dx$$

or as an alternative

$$V=\int_1^3 dy \int_0^{\sqrt{16-y^2}}dx\int_{\frac{x^2+y^2}4}^{4} dz$$