Find the volume of the tetrahedron bounded by the four planes x=0,y=0,z=0, and 2x+2y+x=4?

Q: 4. Find the volume of the region bounded above by the paraboloid z = x? + y? and below by the…

A: (4) Consider the provided question, According to the provided question, draw the graph of the given…

Q: Find the volume of the solid S whose base is the disk bounded by the circle x^2 + y^2 = r^2 and the…

A: Solution is given below:

Q: Find the volume of the solid above the cone z2= 3(x2 + y2 ), z ≥ 0 and below the sphere x2+ y2+ z2 =…

A: We convert the units in spherical coordinate. The cone is given as,  The sphere is given as, The…

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 tetrahedron bounded by the planes x + 2y + z= 2 x= 2y x=0 z= 0

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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: 3) Use a triple integrol to find the volume of the tetrahedron enclosed by the coordingte planes ond…

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Q: Find the volume of the solid that lies inside both the cylinder x² + y² = 16 and the sphere x² + y²…

A: Given cylinder and sphere x2+y2=16x2+y2+z2=36 clearly, Here we need to find volume inside both…

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 tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

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Q: Find the volume of the region cut from the solid sphere (x2 + y2 + z2 < 4a2) by the cylinder 40 (x²…

A: Given x2+y2+z2≤4a2x2+y2=a2

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

A:

Q: Find the "volume" of the four-dimensional pyramid bounded by w +x+ y+z-1=0 and the coordinate planes…

A: The volume of the four dimensional pyramid is given by, V=∫v1 dv   =∫dzdydxdw. The boundaries are…

Q: 3. Find the volume of the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and x + %3D y + 2z =…

A: Will use the triple integration to find the volume of the tetrahedron which is bounded by the given…

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

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Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y…

A: We need to evaluate volume.

Q: Find the volume of the pyramid with base in the plane z=−5 and sides formed by the three planes y=0…

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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 whose base is the region in the first quadrant bounded by y=x^2, y=1,…

A: We will integrate cross sectional area of any x to get the volume of solid.

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: The volume of the tetrahedron bounded by the coordinate planes and the plane x+y+z=4 is

A: Given

Q: Find the volume of the largest closed rectangular box in the first octant having three faces in the…

A: To Find: Volume of the largest closed rectangular box in the first octant having three faces in the…

Q: The volume of the solid region, in the first octant, that lies below below the surface, z = above…

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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: 9. Find the volume of the solid wedge cut from the first octant, bounded by the three coordinate…

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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 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 region that lies inside the sphere x2 + y2 + z2 = 2 and outside the cylinder…

A:

Q: Find the volume of c such that the area of the region bounded by the parabolas y = 16x2 - c2 and y =…

A: Given parabolas are y1=16x2-c2y2=c2-16x2 The area between the given parabolas is 1283

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

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Q: Find the volume of the region cut from the solid sphere ρ≤ a by the half-planes θ = 0 and θ = π/6 in…

A: Find the volume of the region cut from the solid sphere.

Q: Show that the volume of the region bonded by the cone z = Vx² +y2 and the paraboloid z =x² +y is…

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Q: The volume of the tetrahedron bounded by the coordinate planes and the plane x+y+z=2 is a. 2 Ob. 32

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

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Q: Find the volume of the largest closed rectangular box in the first octant having three faces in 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: = 1, 三 a NIU + +

A: Here Let u = x/a, v = y/b , w = z/c Then dx = a du, dy = b dv, dz = c dw So, Required volume V =…

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y…

A: Please see the attachment

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 pyramid with the base in the plane z= -5 and the Sides formed by the three…

A: To find the volume of the pyramid

Q: Find the volume of the wedge cut from the first octant by the cylinder z=63-7y and the plane x+y=3

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Q: The volume of the tetrahedron bounded by the coordinate planes and the plane x+y+z=4 is 32 3 9. 2 O…

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Q: Find the volume of the wedge cut from the cylinder x2+y2=1 by the planes z = -y and z = 0.

A: The Volume of the wedge, where D is the solid and R is the region, is calculated as,

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

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Q: Calculate the volume of the region bounded by the sphere a2 + y? + z? = 5 from above and by the cone…

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Q: The volume of the tetrahedron bounded by the plane * ++ = :1, {a, b, c > 0} and the coordinate a…

A: Volume of the figure will be given by integral - V = ∫∫∫dzdydxLet's find limits of z,y and x - Given…