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coolaserman

  • 2 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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  1. coolaserman
    • 2 years ago
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    @kelliegirl33

  2. coolaserman
    • 2 years ago
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    @experimentX

  3. experimentX
    • 2 years ago
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    \[ 8 \times \int_0^2\int_0^{\sqrt{4 - y^2 }} \sqrt{16 - x^2 - y^2} dy dx\]

  4. experimentX
    • 2 years ago
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    |dw:1375460865268:dw|

  5. experimentX
    • 2 years ago
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    |dw:1375460912385:dw|

  6. experimentX
    • 2 years ago
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    \[h = z = \sqrt{ 16 - x^2 - y^2 } \\ dA = dy dx \\ dV = h dA = h dy dx = \sqrt{ 16 - x^2 - y^2 } dy dx\] And you know x=0->2 and y=0->sqrt(2-x^2) |dw:1375461115974:dw|

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