Find the volume of the region D enclosed by the region cut from the cylinder x2 + y2 4 by the plane z = 1 and the plane x +z = 3.

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

A:

Q: Find the volume of the solid that is bounded on the front and back by the planes x= 1 an =2, on the…

A: Given, The solid that is bounded on the front and back by the planes x=1 and x=2,on the sides by the…

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 1- 8x - 2y

A:

Q: Find the volume of the solid that is bounded on the front and back by the planes x=1 and x=5​, on…

A:

Q: Calculate the volume of one of the wedge-like objects formed by cutting the cylinder x²+9y²=a² with…

A:

Q: Find the volume of the solid that is bounded on the front and back by the planes x = 2 and x = 1, on…

A: Here, the lower and upper bound of x are 1 and 2 respectively. Similarly, the lower and upper bound…

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 12 - x - 4y cubic…

A:

Q: Find the volume of the solid bounded by the surfaces x2 +y² = 2y, z = Vr2 + y² and the plane z = 0.

A: Given that : x2+y2=2yz=x2+y2  ,  z=0

Q: 3.find the volume of the region bounded by the surface y=x^2,y+4x+5 and the plane z=0 and z=4

A:

Q: Find the volume of the solid generated when the plane region bounded by: x=y^2 and x+y=2 is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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 bounded by the paraboloid z = x² + y² and the plane x + y = 1 in the…

A:

Q: Find

A:

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

A:

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

A:

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 bounded by the plane 3x + 8y + 4z = 10 in the first octant. Leave your…

A: In the given problem the first octant denotes the region in the coordinated plane where x,y,z≥0 The…

Q: Find the volume of the solid generated by revolving the triangularregion bounded by the lines y =…

A:

Q: Find the volume of the region under the surface z = 6x° and above the triangle in the xy-plane with…

A:

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

A:

Q: Calculate the volume of the solid under the plane x+y+z= 2 and above the region D enclosed by the…

A:

Q: Find the volume of the region enclosed by the cylinder x^2 + y^2 = 4 and the planes z = 0 and x+ y +…

A:

Q: Find the volume of the smaller region cut from the solid sphere ρ≤ √2 by the plane z = 1.

A:

Q: Find the volume of the solid cut from the square column |x|+ |y|<=1 by the planes z = 0 and 3x +…

A:

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

A: Given,

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

A:

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 1 - 9x – 3y

A: Note:" Since you have posted multiple question. As per our guidelines we are supposed to solve only…

Q: Find the volume of the prism whose base is the triangle in the xy plane bounded by the x -axis and…

A: Given -  A prism whose base is the triangle in the x-y plane bounded by the x -axis and the lines y…

Q: Find the volume of the region bounded by z = 4 - x² - y and the xy plane.

A: Given the region bounded by z=4-x2-y2 and the XY plane

Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

A:

Q: Find the volume of the region under the surface z = 4x* and above the triangle in the xy-plane with…

A: The solution follows as

Q: Find the volume of the solid bounded by the surface z = 9 – x² and the planes z = 5, y = 0, and y =…

A: Given that z=9−x2, z=5, y=0 and y=4 Here, y varies from 0 to 4 z varies from 5 to 9-x2 Now, find 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 inside the sphere ρ = 4 that is bounded above by the cone ϕ = π/3 and…

A:

Q: Find the volume of the solid bounded by the ellipic paraboloid z = 3 + 4x2 + 2y², the planes x = 2…

A:

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 solid with the order dzdydx bounded by x2  + y2  = 4 and the planes x + z=2,…

A:

Q: Find the volume of the tetrahedron in the first octant that is bounded by the three coordinate…

A: The objective is to find the volume of the tetrahedron in the first octant that is bounded by the…

Q: Find the volume of the solid bounded by the plane 10x + 8y + 8z = 9 in the first octant. Leave your…

A:

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 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 volumes OF the solids gewerated by revolving +he regions bounded by the graphs oF the…

A:

Q: Find the volume of the solid bounded by the plane z = 3 - 5x - 9y and the coordinate planes in the…

A:

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

A:

Q: Find the volume of the region under the surface z = 9x and above the triangle in the xy-plane with…

A:

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 bounded by the plane 7x + 3y + 4z = 3 in the first octant. Leave your…

A:

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

A:

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 12 - x - 3y X…

A: The question is from the topic advanced calculus

Q: Find the volume of the solid D bounded from above by the surface z = 9 − 4x2 − 4y2 and below by the…

A: Consider the given surface z = 9 − 4x2 − 4y2 and below by the plane z = 0. ⇒ 0 = 9 − 4x2 − 4y2  ⇒…