The volume of the tetrahedron bounded by the plane * ++ = :1, {a, b, c > 0} and the coordinate a planes is equal to

Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

A: If  you like the solution then please give it a thumbs up.. The Answer is:     Volume = 4π3

Q: Find the volume of tetrahedron with vertices (0,0,0),(1,0,0),(0,1,0)and (0,0,2) by triple integral?…

A: We have to find the volume of the tetrahedrane with vertices 0,0,0, 1,0,0, 0,1,0 and 0,0,2 by triple…

Q: Find the dimensions of the rectangular box of maximum volume that has three of its faces in the…

A: Let say that(a,b,c) is point in plane 4x+3y+z=12 and it is one vertex of requested rectanglar box.…

Q: A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 2 .…

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Q: Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the…

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Q: Find the volumes of the regions. The tetrahedron in the first octant bounded by the coordinate…

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Q: By using the double integral, find the volume of the tetrahedron bounded by the 3x ordinate planes…

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Q: Find the volume of the region under the surface 2 and above the triangle in the xy-plane = Z 1+ x2…

A: Given,z=41+x2triangles co-ordinates :  (0,0,0),(8,0,0) and (8,8,0)On XY planetherefore Limits:…

Q: The sphere of diameter 24 cm is cut by two parallel planes, one passing 4 cm from the center and…

A: d = 24 cm one plane 4 cm from the center second plane 7 cm from the center

Q: Find the volume of the solid that is bounded by the surfaces z = = 92 - x2 - y2 in the first octant.…

A: 0≤ z ≤ 81-x2-y2z=0x2+y2=920≤y≤81-x20≤x≤9

Q: what is the formula to find centroid of triangular prism

A: Centroid of triangular prism is determined as shown below.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given: The lines y=x, y=14, x=0 about the line  y=15.

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

A: The complete solutions are given below

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: According to our guidelines we can answer only first three subparts.

Q: A closed box is in the shape of a rectangular solid with height 3 m. Its surface area is 268 m2. If…

A: Consider the closed box is in the shape of rectangular solid having height 3 m. The surface area of…

Q: Find the volume of the region under the surface z = corners (0, 0, 0), (6, 0, 0) and (0, 3, 0). 824…

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Q: Find the volume of the region under the surface z and above the triangle in the xy-plane with 1+ x²…

A: We have to find the volume of the region under the surface.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 7.5.…

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Q: Find the volume of the solid in the first octant bounded by the coordinate planes and the passing…

A: Given- 1,0,00,2,0 and 0,0,3 To find- The volume of the solid in the first octant bounded by the…

Q: Find the dimensions (both radius and height) of a soup can with a volume of 432 cm³ that minimize…

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Q: Find the volume of the wedge cut from a right circular cylinder of radius 8 inches by two planes –…

A: If we place the x-axis along the diameter where the plane meet,then the base of the solid is a…

Q: Find the volume of the region under the surface z = and above the triangle in the xy-plane with 1+…

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Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…

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Q: Find the volume of the solid generated by revolving the region enclosed by the triangle whose…

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Q: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 5.…

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Q: Find the volumes of the solids whose bases are bounded by the graphs of y = x + 1 and y = x² - 1,…

A: AREA OF SQUARE=side×side Area of rectangle=Length×breadth

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Compute the volume of the column with a square base R= {(x,y): |x|< 3, |y| <3} cut by the plane z =…

A: We have to find volume whose base is square-

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: We first sketch the region using a graphing calculator. The shaded region will rotate about the…

Q: A cylindrical tank has a lateral surface area of 80 π cm2 and a volume of 160 π cm3. Determine the…

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Q: Find the volumes of the solids whose bases are bounded by the graphs of y = x + 1 and y = x2 – 1,…

A: Given that, y=x+1y=x2-1

Q: 6) Find the volume of the solid enclosed by the paraboloid z = 2--y and the plane z = 2.

A: According to question given that z=2-x2-y2z=-2

Q: Find the volume of the tetrahedron in the first octant that is bounded by the three coordinate…

A: The objective is to find the volume of the tetrahedron in the first octant that is bounded by the…

Q: The head of a steel meat tenderizer is cube with a side length of 5 centimeters. Once face of the…

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Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Find the volume of tetrahedron with vertices (0,0,0),(1,0,0),(0,1,0)and (0,0,2) by triple integral?…

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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: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: A rectangle with a fixed perimeter of 64 units is rotated about one of its sides,  thus sweeping oit…

A: To Determine: What is the maximum volume of that  cylinder. Given:  A rectangle with a fixed…

Q: Find the volume of the solid generated by revolving the pentagon with vertices (1, 0), (2, 2), (0,…

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Q: FiNd the volumes OF the solids gewerated by revolving +he regions bounded by the graphs oF the…

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Q: 6) Find the volume of the solid in the first octant bounded by the plane 3x +4z=12, y=2 and the 3…

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Q: Find the volumes of the solids generated by revolving the regionsbounded by the lines and curves…

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Q: 3. Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the…

A: Given

Q: Find the volume of the solid that is bounded by the surfaces z = 92 - x2 - y2 in the first octant.…

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Q: Determine the dimensions of the right circular cylinder, with the greatest volume, that can be…

A: Here we have to determine the dimensions of the right circular cylinder, with the greatest volume,…

Q: Right circular cones of height h and radius r are attached to each end of a right circular cylinder…

A: Let Vcr be the volume of the cone and Vc be the volume of the cylinder. So, Vcr=πr2h and Vc=13πr2h.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Find the volume of tetrahedron with vertices (0,0,0),(1,0,0),(0,1,0)and (0,0,2) by triple integral?…

A: Volume of tetrahedron problem....