## anonymous 3 years ago Find the volume of the solid that lies within both the cylinder x^2 + y^2 = 4 and the sphere x^2 + y^2 + z^2 = 16. please help!!!! will give medal and fan

1. anonymous

@kelliegirl33

2. anonymous

@experimentX

3. experimentX

$8 \times \int_0^2\int_0^{\sqrt{4 - y^2 }} \sqrt{16 - x^2 - y^2} dy dx$

4. experimentX

|dw:1375460865268:dw|

5. experimentX

|dw:1375460912385:dw|

6. experimentX

$h = z = \sqrt{ 16 - x^2 - y^2 } \\ dA = dy dx \\ dV = h dA = h dy dx = \sqrt{ 16 - x^2 - y^2 } dy dx$ And you know x=0->2 and y=0->sqrt(2-x^2) |dw:1375461115974:dw|

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