Use cylindrical coordinates to find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 1, above the xy plane, and outside the cone z = 3?(x^2 + y^2).
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The equation given is that of a sphere with radius 1 centered at the origin, intersecting with a cone with vertex at the origin and opening angle of 45 degrees, and also intersecting with a plane perpendicular to the y-axis at y=0. Show more…
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Use cylindrical coordinates to find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 1, above the xy plane, and outside the cone z = 2 √(x^2 + y^2).
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