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(Solved): The angle at the vertex is pi/3, and the top is flat and at a height of 6sqrt(3). Write the limits o ...



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The angle at the vertex is pi/3, and the top is flat and at a height of 6sqrt(3). Write the limits of integration for \int_{w} dV in cartesian, cyclindrical, spherical coordinates:
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The region is the cone shown below. The angle at the vertex is , and the top is flat and at a height of . Write the limits of integration for in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With , and Volume (b) Cylindrical: With Volume


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