Find the volume of the solid in the first octant bounded by the cylinders x² + y? 16 , y² + 22 16. ||

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 - 3+ 2x2 + 2y? and paraboloids z = z = 5 – x2 – y? -

A: To find the volume of the solid bounded by, z=-3+2x2+2y2 and z=5-x2-y2

Q: Q8-Find the volume in the first octant bounded by the plane x+z=1 & y+2z =2?

A: The solution is given as

Q: Find the volume in the first octant under the plane x + y + z = 6 and inside the cylinders - 4- r?…

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Q: Calculate the volume of the solid bounded by the cone z² = x² + y² and the cylinder x² + y? = 4 %3D

A: Solution is given below:

Q: Determine the volume of the solid lying under the graph of z = x + 3y

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Q: Find the volume of the solid bounded by the paraboloids z 9 + 3x2 + 3y and z = 7 - 3x? – 3y?

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Q: Find the volume of the region enclosed by the cylinder x2 + y2 = 4 and the planes z = 0 and x + y +…

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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 paraboloids z = - 5 + 2x? + 2y² and | = 6 – æ² – y?

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Q: 45. Find the volume of the solid in the first octant bounded by the cylinders x² + y² = a², x² + z²…

A: First we will calculate the volume common to both the cylinders.  Parallel area perpendicular to x-…

Q: Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x = 3,…

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Q: Find the volume of the solid enclosed by the paraboloids z=9(x2+y2) and z=2−9(x2+y2)

A: By using polar coordinates we will find the volume

Q: Find the volume of the region enclosed by the cylinder x2 + y2 = 4 and the planes z = 0 and y + z =…

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Q: Find the volume of the solid bounded by the circular cylinder x² + y? = 25, planes z = 1: : 0, z =…

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Q: Find the volume of the solid generated bounded by x = /y - 2, x y? – 4y + 4, rotated about the x-…

A: Washer Method : If f(x) and g(x) are two continuous non-negative function on a,b and f(x)≥g(x) on…

Q: Find the volume of the region en-closed by the cylinder x2 + y2 = 4 and the planes z = 0 and x + y +…

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Q: Find the volume of the solid cut from the cylinder x2 + y? = 25 by the planes z = 0 and x + z = 2.

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Q: Find the volume of the solid enclosed by the paraboloids z z = 18 – 4 (x2 + y²). 4 (x² + y²) and

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Q: Find the volume of the solid bounded by the paraboloid z = 28 – x2 – y², the cylinder x2 + y² = 14…

A: Given- Praboloid,z=28-x2-y2Cylinder: x2+y2=14 To find : Volume of solid

Q: Find the volume of the solid that lies within the cylinder x2 + y? = 4, above the (x, y)-plane, and…

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Q: Find the volume of a solid enclosed by the parabolic cylinder y = x^2, the planes z = 0 and y + z =…

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Q: Find the volume of the solid bounded by the paraboloid z = 24 – x²2 – y², the cylinder æ? + y² = %3D…

A: The solution are next step

Q: Find the volume of the solid that is enclosed by the cone z = x² + y² and the sphere x² + y² + z² =…

A: Given: Equation of cone z=x2+y2 Equation of sphere x2+y2+z2=2

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: Find the volume of the solid which is (a) bounded by x+ y+z = 4 in the first octant.

A: As per our guidelines we are supposed to solve only one question. For the solution follow the next…

Q: Find the volume of the solid bounded by the paraboloid z = 28 – x? – y?, the cylinder x² + y? = 14…

A: To determine the triple integral,

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 region bounded above by the paraboloid z = x² + 2y² and below by the square…

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Q: Find for the volume of the solid generated by revolving the region bounded by у %3 3 х?, у%3D0 аnd x…

A: Let,s find the curve and the bounded region The yellow color is mention the bounded region

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

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Q: Find the volume of the solid bounded by surfaces z = /9-x2 - y2 , and z = /25 - x2 - y? and the…

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Q: Calculate the volume of the solid bounded by the cone z? = x2 + y? and the cylinder x2 + y? = 4 %3D

A: Let's find.

Q: Find the volume of the solid of revolution below. (1,1) 0.5 y = x³ 1 -0.5 X = X 0.5 1.5 2

A: Given: Apply the disk method to find he volume of the solid about the x-axis.…

Q: Find the volume of the solid bounded by the graphs of the equations: z = 3x + 3y?, x - y+1 = 0, 3x +…

A: This question is about application of intergal calculas

Q: Find the volume of the solid enclosed by the paraboloids z = 9 (x² + y) and z = 18 – 9 (x? + y).

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Q: Find the volume of the solid lying below the graph of z = x* + xy + y³ and above the rectangle 1 < x…

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Q: Find the volume of the solid above the xy-plane, within the cylinder x² + y? = 1, and below the…

A: using cylinderical coordinates

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 in R3 bounded by y = x², x = y?, z = x + y + 14, and z = 0.

A: Given curves are

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&amp; z=9-x2-y2 . . . . . .2 Use…

Q: Find the volume of the solid generated bounded by x = Vy-2, x = y? - 4y + 4, rotated about the x-…

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Q: Find the volume of the solid enclosed by the paraboloids: z = 2x² + y? and z = 27 – x2 – 2y². %3D |

A: The given equation of the paraboloids are: z=2x2+y2 and z=27-x2-2y2 Find the volume of the solid…

Q: Find the volume of the solid bounded by the paraboloids z = – 5+ 2x2 + 2y² and z = 3 – 3x? – 3y? -

A: Here we use the cylindrical coordinate system to solve the problem.

Q: Find the volume of the solid bounded by the paraboloids z = x? + y? and z = 2 – x² – y?. %3D %3D -

A: Consider the solid S bounded by the paraboloids z=x2+y2 and z=2-x2-y2. Find the volume of S.

Q: Find the volume of the solid under z=4x and above the region bounded by y=x2 , y=4, and x=0

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Q: Find the volume of the solid bounded by the cylinders x2 + y2 = 4r2, y2 + z2 = 4r2.

A: We know that : Volume under the surface z = f(x, y) and above the region D in x-y plane is given by

Q: Find the volume of the solid that lies under the double cone z2 = 4x2 + 4y2, inside the cylinder x2…

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Q: Find the volume of the solid generated by reu = A -x2+6x-8 and =0 ab bainded by the

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Q: Find the volume of the solid enclosed by the paraboloids z=16(x^2+y^2) and z=8−16(x^2+y^2)

A: To calculate the volume of the region contained between the two given surfaces