Find the volume of the solid bounded by the surfaces f(x,y) = 3x² + 3y², z = 0 and 6x2 +6y² = 4. Leave your answer correct to 3 decimal places. Answer:

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 bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 7x2 +7y2 = 6.…

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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…

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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 under the surface z = 2 + x^2y^2 and above the region enclosed by y =…

A: Here we have to find the volume of the solid under the surface z=2+x2y2 and above the region…

Q: Find the volume of the solid bounded by: æy = 2, y = 0, æ = 2, and a = 4 a. about x = 1

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Q: Find the volume of the solid bounded by the xy-plane and the surfaces x2+y2=36 and z=x2+y2.

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Q: Find the volume of the solid bounded above by the surface z = 1 – x² – y², below by the xy – plane,…

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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: I need to find the volume of a solid obtained by rotating the region bounded by y=x3 , y=1 , x=0…

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Q: Find the volume of the solid bounded by the paraboloid z = 16 – 2? – y, the cylinder 2 + y? 8 and…

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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: 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 bounded by the surfaces f(x,y) = 5x² + 5y², z = 0 and 5x2 +5y2 = 1.…

A: Given that the volume is bounded by the surfaces z=5x2+5y2,z=0 and 5x2+5y2=1. Their sketch is shown…

Q: Find the volume bounded by the paraboloid 2x + y and the parabolic cylinder z = %3D z = 4 – y.

A: We find the volume of the given region in the following way.

Q: Compute the volume of the solid bounded by the surfaces x2+y2=33y, z=0 and z=Vx²+y2.

A: We will use of cylindrical coordinates to find the volume of solid

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 5x² + 5y², z = 0 and 2x2 +2y² = 2.…

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Q: Find the volume of the solid obtained by rotating the region bounded by I = 4y², y = 1, z = 0, about…

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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 given solid. Bounded by the cylinders z = 2x², y = x² and the planes z = 0, y…

A: The given region is: z=2x2,  y=x2  and  the planes: z=0,  y=4

Q: Find the volume of the solid which is under the surface z = 16 – x² – y and above the plane z = 8.

A: Given

Q: Calculate the volume of the solid upper bounded by the paraboloid z=x^2+y^2 and below by the region…

A: we have  to find the volume of the solid bounded upper by the paraboloid z=x2+y2 and below by the xy…

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 obtained by rotating the region bounded by y=x2, y=1; about the line…

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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 of the solid that lies below the surface given by z = 16ry + 200 and lies above the…

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Q: Find the volume of the solid bounded by the cylinder x² + y² = 4 and the planes y+z= 4 and z=0.

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Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

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Q: Find the volume of the solid generated bounded by x = Vy – 2, x = y2 – 4y + 4, rotated about the %3D…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 6x² and…

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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 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 the surface z = 4 – y² and below by the rectangle R =…

A: We have to find the volume of the solid bounded above by the surface z= 4 - y2 and below by the…

Q: Find the volume of the given solid. Bounded by the cylinders z = 4x2, y = x2 and the planes z = 0, y…

A: Given data:   The first equation given is z=4x2. The second equation given is y=x2. The given value…

Q: Find the volume of the region that lies above the cone z = √x² + y² and between the spheres x² + y²…

A: Volume is the amount of space occupied by the closed surface. In this problem, the region is bounded…

Q: Find the volume of the solid bounded by the paraboloids z = – 5 + 2x? + 2y² and z = 9 – x2 – y²

A: The solid is bounded by the paraboloids,  z=-5+2x2+2y2 . . . .. 1& z=9-x2-y2 . . . . . .2 Use…

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: Find the volume of the solid generated bounded by x = Jy – 1, x = y? – 2y + 1, rotated about the x-…

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Q: Compute the volume of the solid bounded by the surfaces x²+y²=29y, z=0 and z=Vx²+y2.

A: We need to find volume.

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 bounded by z = 4x – 4y, 4y = 4x, 4y = -4x and x = 5. Leave your final…

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Q: Find the volume of the given solid. Bounded by the cylinders z = 5x2, y = x2 and the planes z = 0,…

A: Given that a solid is bounded by the cylinder z=5x2 and y=x2 and the planes z=0 and y=4. We need to…

Q: Find the volume of the portion of the solid cylinder x2 + y2<= 1 that lies between the planes z =…

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Q: Find the volume of the given solid. Bounded by the cylinders z = 3x2, y = x² and the planes z = 0, y…

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