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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
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

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experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0\[ 8 \times \int_0^2\int_0^{\sqrt{4  y^2 }} \sqrt{16  x^2  y^2} dy dx\]

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1375460865268:dw

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1375460912385:dw

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0\[h = z = \sqrt{ 16  x^2  y^2 } \\ dA = dy dx \\ dV = h dA = h dy dx = \sqrt{ 16  x^2  y^2 } dy dx\] And you know x=0>2 and y=0>sqrt(2x^2) dw:1375461115974:dw
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