Find the volume of the region cut from the solid sphere (x2 + y2 + z2 < 4a2) by the cylinder 40 (x² + y? = a²).

Q: Find the volume of the solid that results when the region bounded by x = y and x = y + 12 is…

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 : = 35 and the upper cone z2 =…

A: The given problem is to find the volume of the ice cream that is bounded by given surfaces. Given…

Q: Find the volume of the region bounded above by the sur-face z = 4 - y2 and below by the rectangle R:…

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Q: Find the volume of the solid under the surface z = = 3x + 5y²2 and above the region in the first…

A: Important guideline: As you didn't ask a question that is to be solved, so according to Bartleby's…

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: Calculate the volume of the solid that is limited superiorly by the sphere x2+y2+z2=9 and inferiorly…

A: To Calculate: Volume of the solid bounded superiorly by x2+y2+z2=9 and inferiorly by x2+y2=z2.

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: 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 cut from the thick-walled cylinder 1 ≤ x2 + y2 ≤ 2 by the cones z =…

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Q: Find the volume of solid lying in the first octant bounded by the graphs of : z = 4 – x2 – y² , y =…

A: The volume of the solid in first quadrant is given by: V=∫ab∫cdf(z)dydx Now, find the range of the…

Q: Find the volume of the solid that results when the region enclosed by x = - y² + 7, and x = y + 4 is…

A: We first find the y values of the intersecting points by setting the equations…

Q: Find the volume of the solid generated when the region bounded by x = - sqrt(4y) . y = 4 and x= 0 is…

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Q: Find the volume of the region that is between x = 8 – z2 – y? and x = -V4y² + 4z²

A: b)the region bounded by surface x=8-y2-z2andx=-4y2+4z2inside the disky2+z2=4

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 obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x²…

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Q: What is the volume of the solid whose 1 30 cross-sections are squares perpendicular to the x-axis…

A: Given: The region bounded by the curves are: y=x and y=x The cross-sections are squares…

Q: Find the volume of the tetrahedron bounded by 2x−y+z = 4 and the coordinate planes.

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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 generated when the region bounded by y = 4x and y = 16VX is revolved…

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Q: Find the volume of the first octant region bounded by the coordinate planes and the parabolic…

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Q: Calculate the volume of the solid bounded by the cone z2=x2+y2 and the cylinder x2+y2=4

A: Explained below

Q: Find the volume of the region bounded above by the paraboloid z = 5 - x2 - y2 and below by the…

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Q: Calculate the volume of the solid in the first octant bounded by the plane y = 4 and the cylinder z…

A: Volume is calculated using triple integration. Here x varies from 0 to 2 , y from 0 to 4 and z…

Q: Find the volume in the first octant bounded by the cylinder x² +y = a² 2a and the lane z = x + v.

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Q: Find the volume of the region above the xy-plane, inside the cone z = 14 – Vx² + y² and inside the…

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Q: Find the volume of the solid generated when the region bounded by y= 9x and y 27x is revolved about…

A: Given curves are y=9x   ....1 and y=27x  ...2

Q: Find the volume of the region that lies inside the sphere x2 + y2 + z2 = 2 and outside the cylinder…

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Q: Find the volume between the cylinders x+y =1 and the cylinder x* +z* = 1 in the first octant. 2

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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 bounded by y=4x and y=16sqrt(x) is revolved…

A: The given curves are: y=4x    and    y=16x The intersection point of both curves are: (0,0)  and…

Q: Find the volume of the solid bounded by x + y2 = 3z and x2 + y2 = 6x

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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 whose base is the region bounded by the semicircle y = 1– x² and the…

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

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Q: Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y =…

A: According to the Q&amp;A guideline, only the first question can be solved. Please repost rest…

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z…

A: Given that the region in the first octant bounded by the coordinate planes, the plane y+z=2 and the…

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 generated by revolving around the y- axis, the region bounded by 1 y =…

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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,…

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Q: Find the volume of the first octant below the cylinder z=y2 and bounded by the planes x=2 and y=3.

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

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Q: Find the volume of the solid obtained by rotating the region bounded by = 5a?, 5x², x = 1, and y 0,…

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Q: Find the volume of the solid bounded by x+y2=3z and x2+y2=6x.

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Q: first

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Q: Find the volume of the solid whose base is the semicircle y = v9 – x2 where -3 < x < 3, and the…

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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