Find the volume above the xy-plane bounded by the surfaces: 3 2a ²+y² = a², z =y and z= 0. Ans.

Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2 and below by the parabo-…

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Q: Find the volume of the solid in the first octant bounded by the cylinder z = 4 – y? and the plane x…

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 7x2 +7y2 = 6.…

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Q: Let R be the region bounded by y = 9 – x and y = 2x+ 6 find the volume %D generated when R revolved…

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Q: Find the volume of the region in the first octant that lies between the cylinders r = 1 and r = 2…

A: To find the volume of the solid that is bounded above by z = xy and bounded below by z = 0…

Q: Find the volume of the solid that lies above the xy-plane and is bounded by the cylinder x² + y² = 1…

A: We are given that a solid lies above the xy plane and is bounded by cylinder x2+y2=1 and the plane…

Q: Find the volume under the parabolic cylinder z=x² above the region enclosed by the parabola y= 6-x²…

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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 bounded by the surfaces f(x,y) = 4x2 + 4y2, z = 0 and 6x2 +6y2 = 9.…

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 3x² + 3y², z = 0 and 6x2 +6y² = 4.…

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Q: Find the volume of the region bounded above by the sphere x2 + y2 + z2 = 2 and below by the…

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Q: Find the volume of the solid that occurs when the area bounded by the curve y = x, y = x2 is rotated…

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Q: Find the volume of the solid V in the first octant bounded by x+y+z=5 and x+y+7z=5.

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Q: Find the volume of the solid bounded by the plane z= y+2 and the cylinder x'+y = 4 above the…

A: Given that cylinder x2+y2=4and z=y+2 The volume is the region is, V=∭dxdydz Since z=y+2 so z varies…

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

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Q: What is the volume of the solid R bounded by the x- axis, x = 1, and y = sqrt(x) when R is revolved…

A: We have,  Volume solid region  V = π∫ab(R2 - r2) dx Where, R = Outer radius is the distance from the…

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 in the first quadrant bounded by the…

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Q: Find the volume of the solid enclosed by the cylinder x+ y = 9, bounded above by the sphere x +y° +=…

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Q: Find the volume by using double integration. The solid above z = 0 and bounded by the plane a + z =…

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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 bounded by the paraboloid z = 1+ 2x + 2y² and the plane z = 15 in the first octant.

A: We are required to find the volume bounded by the paraboloid z=1+2x2+2y2 and z=15. The graph of the…

Q: Find the volume of solid that is bounded by the cylinder x +y = 9 and the planes y+z=4 and z=0,

A: We have to find  the volume of sold that is bounded by the cylinder x2 +y2 =9 and the planes y+z=4…

Q: Find the volume of the solid bounded above by enclosed by the curves z = 2 – a², z = x in the

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Q: Find the volume of the solid inside the sphere ρ = 4 that is bounded above by the cone ϕ = π/3 and…

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

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Q: Find the volume in the first octant bounded by the cone z2 = x2 − y2 and the plane x = 4.

A: The given conic curve is, z2=x2-y2 Boundary limits are as follows, Limit of x: 0 to 4Limit of y: 0…

Q: Find the volume of the region bounded below by the plane z = 0, laterally by the cylinder x2 + y2 =…

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Q: Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 25 - x^2 and…

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Q: Find the volume of the solid bounded by the paraboloids 9 + x + y and z = 3 2x? – 2y - - Round your…

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 8x2 + 8y2, z = 0 and 6x2 +6y2 = 4.…

A: Let's find.

Q: Find the volume under the parabolic cylinder z = x2 above the region enclosed by the parabola y = 6…

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Q: Calculate the volume of the tetrahedron in the first octant bounded by the plane x + 2y + 3z = Q…

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Q: Find the volume of the solid that is bounded by Y3D0 2.x +3y +5z = 30

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Q: Find the volume of the solid bounded by the paraboloid z = 16 – x2 – y?, the cylinder x2 + y? = 8…

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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 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 enclosed between the two surface :z x + y and z=3

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Q: Find the volume under z 2x + 3y + 10, above the xy-plane and inside x² + y = = y.

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 4x2 +4y2 = 7.…

A: Given,  f(x,y)=10x^2+10y^2  ,  z=0  ,  and  4x^2+4y^2=7

Q: Find the volume of the solid bounded above by f(x,y) = 4x?, below by the xy-plane and the sides by y…

A: We will find out the required volume.

Q: Find the volume of the solid of revolution obtained by revolving the region R bounded by the…

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Q: Find the volume of the solid bounded by the paraboloid z = 16 – x² – y², the cylinder x2 + y? = 8…

A: We have to find the volume of the solid bounded by the paraboloid, the cylinder, and the xy-plane.

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 4x2 + 4y?, z = 0 and 2x2 +2y2 = 4.…

A: Here we can use polar coordinates to find the volume. Formula for volume using polar coordinates is…

Q: What is the volume of the region coming from the cylinder {(x, y, z) : x^2 +y^2 ≤ 1} sliced by the…

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 6x2 + 6y2, z = 0 and 7x2 +7y2 = 3.…

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Q: Find the volume of the solid generated when the plane region bounded by: y=4/x, x=1, x=4, and y=0…

A: Given regions are y=4/x, x=1, x=4 and y=0.

Q: Find the volume of the solid obtained when the region bounded by the lines y = 1, r = 1, 1 = 2 and…

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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…