What is a correct set-up for finding the volume of the pyramid bounded by the coordinate planes and the planer-+ = 1?

Q: A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicu- lar to the…

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Q: Find the volume of the region enclosed by the planes z = 4 - 2x - 2y, y = 2x, y = 0, and z = 0.

A: Given that the region enclosed by the planes                         z=4-2x-2y, y=2x, y=0, and z=0.

Q: A pipe was cut into two and looks like this as attached in the picture.  Imagine both circle have a…

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Q: Show that the right circular cylinder of given surface and maximum volume is such that its height is…

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Q: Find the volume of the region bounded above by the sphere x² + v² + z² = 36 and below by the cone z…

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Q: Find the volume of the solid enclosed between the cone z = hr? and the plane z = 2h.

A: The variables in cylindrical coordinate systems are r, z and θ. In this problem, we have to find the…

Q: Show that the volume of the largest right circular cylinder that 4 the volume 9. can be inscribed in…

A: The largest circular cylinder that can be inscribed in a given right circular cone is 4/9 the volume…

Q: Find the volume of the region cut from the solid cylinder x² + y² ≤ 49 by the sphere x² + y² +2²=64.…

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Q: Find the volume of the given solid. Bounded by the coordinate planes and the plane 8x + 9y + z = 72

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Q: Find the volume of the parallelepiped with adjacent edges −→OA = , −−→OB = , −−→OC = .

A: Volume of parallelepipe is given by=  | a.(b*c) |

Q: Calculate the volume of the parallelepided defined by ü = [3, – 2, 6], v = [5, 0, -1] and w =[-7, 6,…

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Q: Calculate the volume of the region bounded by the spherex + y² + z² = 9 from above and by the cone…

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Q: Calculate the volume of the solid bounded inferiorly by the sphere (image 1) and superiorly by the…

A: Let, E be the region bounded below by the sphere x2+y2+z2=2z and bounded above by the cone z=x2+y2