Find the volume of the solid bounded by the plane 9x + 3y + 3z = 6 in the first octant. Leave your answer correct to 4 decimal places. Answer:

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

A: To find the volume of the solid generated when the plane region bounded by  x=y2 and x+y=2 is…

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: Determine the volume of the solid obtained by rotating the region bounded by y = a? – 4x + 5, a = 1,…

A:

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

A:

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

A: Given plane z=3-x-y and the lines y=x and x=1. The objective is to find the volume of the solid…

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 solid obtained by rotating the region bounded by y = VT, y = 1, r = 2, and r…

A: Find the volume rotating about x-axis

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 obtained by rotating the regionbounded by y = x 3 , y = 8 ,and x = 0…

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 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 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 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 plane z = 10 - 5x - 8y and the coordinate planes in 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 bounded by the paraboloid z = 24 – x? = y?, the cylinder x2 +y² : 12…

A:

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 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 plane 3x + 6y + 3z = 4 in the first octant. Leave your…

A:

Q: Find the volume of the solid bounded by the plane 4x + 6y + 7z = 9 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 region bounded above by the paraboloid z = 9 - x2 - y2 and below by the…

A:

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 generated of the area bounded by y? = 8x and y = 2x, rotated about y =…

A: I am attaching image so that you understand each and every step.

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

A: The plane equation can be rewritten as,

Q: find the volume,The region cut from the solid elliptical cylinder x2 + 4y2<=4 by the xy-plane and…

A:

Q: 27T 3. x y2 and x + y = 2 is revolved about y = 1. (Answer: C. u.) 2

A:

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

A:

Q: Calculate the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the…

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

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 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 bounded by the plane z = 3 - 5x - 9y and the coordinate planes in the…

A:

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 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 fommed by rotating the region enclosed by y = el + 4, y = 0, r = 0, z =…

A: Given : curve : y = ex + 4, Lines : y = 0, x = 0 & x = 0.5,   To find : Volume of the solid…

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 obtained by rotating the region bounded by æ = 8y°, y = 1, x = 0, about…

A: Given:       x=8y2 , y=1, x=0

Q: Find the volume of the solid bounded by the elliptic paraboloid z = 2 + 5x² + 4y², the planes x = 4…

A: