Find the volume of the solid bounded by the plane 4x + 6y + 7z = 9 in the first octant. Leave your answer correct to 4 decimal places. Answer:

Q: Find the volume of the solid bounded by the ellipic paraboloid z = 1 + 2x? + 3y°, the planes x = 2…

A: Given query is to find the volume of the solid.

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 lies under the plane 3x + 2y + z = 12 and above the rectangle. R=…

A:

Q: Find the volume of the solid bounded by the paraboloids z = - 9+ 3x? + 3y? and z = 5 – x? – y? .…

A:

Q: Question included in image

A: Find the volume of the wedge cut from the first octane by the cylinder and the plane

Q: Find the volume of the wedge cut from the first octant by the cylinder x? + y² = 1 and the plane 2x…

A: We have to find the volume of the wedge cut from the first octant by the cylinder x2+y2=1 and 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 the volume of the solid bounded by the elliptic paraboloid z = 1+ 3x? + 5y², the planes x = 2…

A:

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

A:

Q: Find the volume of the given solid. Bounded by the coordinate planes and the plane  8x + 3y + z = 24

A: The given plane is

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 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: Find the volume of the solid obtained by rotating the egion bounded by y=x+1₁ y=0, about y = -1. y =…

A:

Q: Find the volume of the region enclosed by the paraboloid (x-1)²+y=z and the plane 2x+z=2.

A: To find the volume of the region enclosed by below paraboloid and the plane. x−12+y2=z and…

Q: Find the volume of the solid bounded by the paraboloids z = - 4+ a2 + y? and z = 3 - 2a2-2y? . Round…

A:

Q: Find the volume of the solid bounded by the paraboloid z = 8- 2x - 2y and the plane z = 0

A:

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 solid region bounded below by the paraboloid z = 4x2 + y? and above by the…

A:

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

A:

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: The given plane area with boundaries is y=x2,  y=0,  x=5. The main objective is to find the volume…

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 bounded by the paraboloid z = 16 – 2? – y?, the cylinder 2 + y² = 8 and…

A:

Q: Find the volume of the solid bounded by the paraboloid z = 2 – 4x? – 4y? and the plane z =

A:

Q: Find the volume of the region enclosed by the paraboloid (x-1)²+y? =z and the plane 2x+z=2.

A:

Q: Find the volume bounded by the paraboloid z = 1+ 5x + 5yʻ and the plane z = 26 in the first octant.

A: The objective is to find the volume bounded by the paraboloid z=1+5x2+5y2 and the plane z=26 in the…

Q: Find the volume of the solid bounded by the paraboloid z = 6x + 6y and the plane z = -

A:

Q: Find the volume of the solid bounded by the plane 3x + 6y + 3z = 4 in the first octant. Leave your…

A:

Q: Find the volume of the solid enclosed between the cone z = hr? and the plane z = 2h.

A: The variables in cylindrical coordinate systems are r, z and θ. In this problem, we have to find the…

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 in the first octant bounded by the parabolic cylinder z = 25 - x^2 and…

A:

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

A:

Q: Find the volume of the solid bounded by the plane 9x + 3y + 3z = 6 in the first octant. Leave your…

A:

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

A:

Q: Determine the volume of the region that lies under the sphere x² + y² + z² = 4, above the plane z…

A: Given: Now,

Q: Find the volume of the solid obtained by rotating the regio y = 2x, x = 1, and y = 0, about the…

A:

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

A:

Q: Find the volume of the solid whose base is the triangle enclosed by y-axis, y = 3, and y above…

A: First draw the base of the solid and find the cross section area then integrate.

Q: Find the volume of the solid bounded by the paraboloid z = 24 – x? – y², the cylinder x? + y? = 12…

A: Ans is 216 pi

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 bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

A:

Q: Find the volume of the solid bounded from above by the paraboloid z = 6 – a2 – y?, inside the…

A: In general volume, integrals are triple integral, which involves the integral with respect to x,y,…

Q: Find the volume of the wedge cut from the first octant by the cylinder x2 + y2 = 1 and the plane 2x…

A: To find the limits of x, y and z from the region of integration, substitute 0 for y.…

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

A:

Q: Find the volume of the solid enclosed by the cone z = √(x2 + y2) between the planes z = 1 and z = 2.

A:

Q: y =, x = 1, x = 4, and y = 0 is revolved about the y - axis.

A:

Q: Find the volume of the solid that lies within the sphere x2 + y² + z² = 64, above the xy-plane, and…

A: To find the volume if the solid within the given sphere above xy-plane and below the cone:…

Q: Find the volume of the solid bounded by the elliptic paraboloid z = 5 + 4a² + 3y?, the planes a and…

A:

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.