Find the volume of the region above the xy-plane, inside the cone z = 14 – Vx² + y² and inside the cyclinder x² + y² = 14y.

Q: Find the volume of the region above the xy-plane, inside the cone z = 6 – Væ² + y² and inside the…

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: Find the volume of the solid obtained by rotating the region about the x-axis bounded by the graphs…

A: The volume of solid of revolution rotated about x-axis can be given by the formula V=∫abπ…

Q: Find the volume of the region between the planes x+y + 2z =2 and 2x + 2y +z = 4 in the first octant.

A: Find the volume of the region between the planes  x +y + 2z = 2 ......... (1)  and  2x + 2y +z =4…

Q: Find the volume of the solid obtained by rotating the region bounded by y = x² , y = 0, and r = 3,…

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Q: Find the volume of the solid obtained by rotating the region bounded by 2y = x², %3D y = 2, y = 8…

A: According to the given information, it is required to find the volume of the obtained solid.

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 10 + x2 + 3y2 and below…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 18 – Vx² + y² and inside the…

A: We have to find the volume of the region bounded by the xy-plane, inside the cone, and inside the…

Q: Find the volume of the region above the xy-plane, inside the cone z 24 x2 + y2 and inside the…

A: The solution are next step

Q: Find the volume of the solid cut from the thick-walled cylinder 1 ≤ x2 + y2 ≤ 2 by the cones z =…

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Q: Find the volume of the region bounded by the paraboloid z = x² + y² and the plane x + y = 1 in the…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x²…

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Q: Find the volume of the solid whose base is the region in the xy-plane bounded by the parabola y = x²…

A: Given that y=x^2, y=3x and z=x+4 We have to find volume

Q: Find the volume of the solid whose base in the xy plane is the region bounded by the graphs of y=x²,…

A: Introduction: Volume and the triple integral are equivalent. Integral is mostly used to calculate…

Q: Find the volume of the solid that results when the region bounded by y = Vā ,y = 0 and æ = 4 is…

A: Volume

Q: Find the volume of the solid obtained by rotating the region bounded by y = x3, y = 0, and x = 2…

A: Follow the steps.

Q: Find the volume of the solid obtained by rotating the region bounded by a. y = V25 – x2 and y = 0…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = -1+ In r, y = 2, y = 4,…

A: Given function is : y=-1+lnx , y=2, y=4 To find the volume of solid obtained by rotating the region…

Q: Find the volume of the solid generated by rotating the area bounded by the lines y=x, y=2x and x=3…

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Q: Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x^2,…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x?, x = 1, and y = 0,…

A:

Q: Find the volume of the region above the xy-plane, inside the cone z = 24 – Va2 + y2 and inside the…

A: We have to find the volume of the region above the xy-plane, inside the cone and inside the…

Q: Find the volume of the solid that results when the region bounded by x=y^2 and x=4y+5 is revolved…

A: Given: To obtain the volume of the solid when the region bounded by x=y2 and x=4y+5 is revolved…

Q: Find the volume of the solid generated when the region enclosed by y = Vx + 2, Y = /5x, and y = 0 is…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x2 and x=y2 about the line…

A:

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 6 - 2x² - 2y² and below…

A: We will use limits of x,y,z to create a triple integral to represent volume and then solve it

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^5, y=x,…

A: The solid base is in the first quadrant which is bounded by the curves y=x5, y=x, y=1 and y-axis.…

Q: find the volume,The region bounded in back by the plane x = 0, on the front and sides by the…

A: Given

Q: find the volume,The region cut from the solid elliptical cylinder x2 + 4y2<=4 by the xy-plane and…

A:

Q: Find the volume of the region bounded above by the paraboloid z = x² + 2y² and below by the square…

A:

Q: find the volume ,The region between the planes x + y + 2z = 2 and 2x + 2y + z = 4 in the first…

A: Given planes are

Q: Find the volume of the solid bounded above by paraboloid z=4-x^2-y^2 and below by region bounded by…

A: According to the given information, it is required to find the volume of the solid bounded by the…

Q: find the volume of the region between f(x,y) = 49-x2-y2 on the xy plane

A: Given, find the volume of the region between f(x,y) = 49-x2-y2 on the xy plane

Q: Find the volume of the solid obtained by rotating the region bounded by 9x", x = 1, and y = 0, about…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 4 – vx² + y² and inside the…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y=x and y=xl/2) about the…

A: Solution:Giveny=x and y=x12To find the Volume of the solidFormula:V=2π∫abR(x)h(x)dx

Q: Find the volume of the solid obtained by rotating the region bounded by the curves = Vx, y = -x +2…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 9y, y = 1, x = 0, about…

A:

Q: Find the volume of the solid enclosed by the cone z = √(x2 + y2) between the planes z = 1 and z = 2.

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 6x?, x = 1, and y = 0,…

A:

Q: Find the volume of the solid cone obtained by rotating the region bounded by the lines y=(1/2)x,…

A:

Q: Evaluate the volume of the solid obtained by rotating the region bounded by the parabolas x= Vy-1…

A: We have to find the volume of the solid obtained by rotating the region bounded by the…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2a², x = 1, and y = 0,…

A:

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 16 - x2 - y2 and below…

A:

Q: find the volume of the region in the first octane bounded by the coordinant planes, the plane y + z…

A: See the details solution in below

Q: Find the volume of the solid obtained by rotating the region bounded, by y x2 - 2x and y = x about…

A: The region bounded by the curves y=x2-2x and y=x about the line y=4 is as shown above.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x5,…

A: We first sketch the region using a graphing calculator.

Q: Find the volume of the region above the xy-plane, inside the cone z = 12 Vx2 + y? and - incide the…

A:

Q: Find the volume of the solid formed f(x) Vx, y = 0, X = %3D about the x-axis.

A: Here we have to find the Volume of the solid formed by revolving  the region bounded by,  f(x)=√(x),…

Q: Find the volume of the solid that results when the region bounded by y = x and y = x², from x = 0 to…

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Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1…

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the…