Find the volume in the first octant under the plane x + y + z = 6 and inside the cylinders - 4- r? 292

Q: Find the volume of the 'ice-cream' that is bounded by x2 + y? + z2 99 and the upper cone z? = 3x2 +…

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Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the…

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Q: 5. Find the volume of the solid enclosed by z = 4, y = 0, y = 25 – x2, and z + y = 29.

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Q: Q8-Find the volume in the first octant bounded by the plane x+z=1 & y+2z =2?

A: The solution is given as

Q: Find the volume of the 'ice-cream' that is bounded by x² + y2 + z² = 79 and the upper cone z? = 3x2…

A: We will use the triple integral to find out the volume, also we will use the cylindrical coordinate…

Q: Find the volume generated by rotating the given region about the specified line. R, about AB

A: On revolving the region R1 around the line Ab, the resulting solid obtained will be a cone.   This…

Q: The volume of the solid under the plane 4 x+ 5 y - z=0 and above the region enclosed 27 by y= 3 x…

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Q: Evaluate the volume of the following solid. 1 z =1- x? 1 y =1- x

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Q: Find the volume generate by rotating the given region about the specified line. R2 about BC

A: Integrating a small volume element within appropriate limits will result in the complete volume of…

Q: Find the volume of the region above the xy-plane, inside the cone z 24 x2 + y2 and inside the…

A: The solution are next step

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 the Colid obtained by rotating the vegion enclosed about linie 4=0 Using the metned…

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Q: 45. Find the volume of the solid in the first octant bounded by the cylinders x² + y² = a², x² + z²…

A: First we will calculate the volume common to both the cylinders.  Parallel area perpendicular to x-…

Q: Find the volume obtained by rotating R about the line = -e.

A: Volume : π2e2+4e+1

Q: Find the volume of the solid cut from the cylinder x² + y? = 49 by the planes z = 0 and x + z = 1.

A: Image is attached with detailed solution.

Q: Find the volume of the solid bounded by the circular cylinder x² + y? = 25, planes z = 1: : 0, z =…

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Q: Find the volume of the following solid. ZA z = 2 – y2 2 x = 1 y = x О 12/7 O 12/11 O 7/12 O 11/12 O…

A: Given  z=x-y2 ,x = 1 and y=x  To find  volume of solid

Q: The volume of the solid under the plane 3 x+ 3 y -z=0 and above the region enclosed 23 by y=2 x and…

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Q: What is the volume in the first octant bounded by x² + y – 4 = 0 and z = x. Use a triangular…

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Q: 66. Find the volume obtained by rotating the region enclosed by y = In x and y = (In x)² about the…

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Q: Find the volume of a solid obtained by rotating the region under the graph of the function…

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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 enclosed by N = x2+y² and

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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 region in the first octant enclosed by the cylinder x^2 +y^2 =4 and the plane…

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

A: The equation of the plane 2x+2y+z=4  can be rewritten in the form  z=4-2x-2y let z=0, 0=4-2x-2y…

Q: Find the volume of the region between the cylinders a? + y² = 16 and æ² + z² = 16. %3D

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Q: Use the Theorem of Pappus to find the volume of the solid that is generated when the region enclosed…

A: y = 8−x² given y = x²     given This means that 8- x² = x² 2x2=8 x=-2,+2 Then, y=4,4

Q: Find the Volume r= 2cos 0 , x2+yナ ?= 4.

A: Topic:- volume

Q: What is the volume in the first octant bounded by x2 + y − 4 = 0 and z = x. Use a triangular…

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Q: Find the volume of the solid cut from the cylinder x² + y? = 4 by the planes z = 0 and x +z = 6.

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Q: Find the volume of the region enclosed by z = 1 – y and z = y² – 1 for 0 < x < 42. - V =

A: To find the volume of the region enclosed by z=1-y2 and z=y2-1 for 0≤x≤42

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 part of the ball p s1 that lies between the cones o = 1/6 and o = 1/3. %3D

A: For spherical coordinates  dv=rho^2 sin(phi) drho dphi dtheta

Q: Compute the volume the vertical cylinder Xay=I and the hon'zontal cylinder f the Solid borended…

A: Region of intersection of these two cylinders from a point near the z-axis, we see that the sides of…

Q: 5. Find the volume under the paraboloid = -a? – y?, and above the cone z = - p² + y?.

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Q: Find the volume of the sdid of revolution below. (1,1) 05 y=x

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 3 and the upper cone z? = 4x2 +…

A: Let's find.

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

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Q: Find the volume of the solid in the first octant bounded by the cylinders x² + y? 16 , y² + 22 16.…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 4 – vx² + y² and inside the…

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Q: Find the volume generated by revolving the area 1 bounded by y -, x = 3, x = 9, and y O about the…

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Q: Find the volume of the solid of revolution below. (1,1) 0.5 y = x³ 1 -0.5 X = X 0.5 1.5 2

A: Given: Apply the disk method to find he volume of the solid about the x-axis.…

Q: 9. Find the volume of the solid in the first octant enclosed by the surface z = x? and the four…

A: Volume = ∫02∫03∫0x2dx dy dz                 =∫02dx∫03dy ∫0x2dz…

Q: Find the volume of the solid that results when the region bounded by v-x1=0 and x=l04 is revolved…

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Q: Find the volume of the region enclosed by z = 1 - y² and z = y² - 1 for 0 < x < 42. V =

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Q: O Find the volume of solid in the first octant bounded by the co- ordinate planes, the planes x-3,…

A: We will find out the required volume of the solid in the first octant.

Q: Compute the volume lying inside the sphere x? + y? + z? = 37 but outside of x² + y? = 21.

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

A: Given. gy=-4x2+369z=-5x2+45