The base of a solid is the region in the xy-plane bounded by the curves z=-y² + 8y + 113 and x = y² - 30y +233. Every cross-section of this solid perpendicular to the y-axis (and to the zy-plane) is a half-disk with the diameter of the half-disk sitting in the xy-plane. The volume of this solid is:

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A: Solution is below.

Q: Let S be the solid with base given by the triangle in the ry-plane with vertices (0,0), (1,0), (0,3)…

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Q: =4-2² and b) Find the volume of the solid bounded by the surface y = the planes y = 0, z = 0 and +z…

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Q: The base of a solid S is the region bounded by the ellipse 4x² +9y² = 36. y 4x² +9y² = 36 →x (3,0)…

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Q: Use cylindrical coordinates to evaluate the triple integral √² + y²dV, where E' is the solid bounded…

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