Compute the volume cut out of x2 + y2 + z2 = 64 by the cylinder x2 + y2 = 64.

Q: Compute the volume of the solid bounded by the vertical cylinder x2+y2=1 and the horizontal cylinder…

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

Q: Find the volume of the 'cover' that is bounded by 52 < x2 + y2 + z² < 7² and the upper cone z² = 4x2…

A: Given 52≤x2+y2+z2≤72 ,z2=4x2+4y2

Q: y2- 4y + 2x = 0, x = 2 and x-axis

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3,x+y = 3 about y = -5.

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Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the…

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Q: Find the volume bounded by z = 9-x²-y² and z = 0.

A: find explanation below

Q: Find the volume of the region bounded by: 1+x2 - V3 %3= that is rotated about the x-axis.

A: Volume of the solid that is obtained by rotating around the x-axis limited by f(x) and g(x) where…

Q: The region bounded by y=√(5-x), x=1, and y=0 is revolved around the (a) x-axis and the (b) y-axis.…

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Q: Find the volume of the solid bounded by z = 4х - Зу, Зу %3D 4х, Зу %3D - 4х and x = 7. Leave your…

A: Given that z = 4x - 3y, 3y = 4x, 3y = - 4x and x = 7 We have to find volume.

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: What is the volume obtained by rotating the region bounded by x = (y - 3)½ and y = 2x2 + 1 around…

A: Here we use basic definition of volume .

Q: Calculate the volume of the wedge cut from the cylinder x2+y2=25 and from the z=3y and z=0 planes,…

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Q: calculate the volume of the 1st octant under the plan 2x + y + z = 10

A: answer

Q: Find the volume of the region bounded by z = 16 - y, z = y, y = x 2, and y = 8 - x 2.

A: The objective is to determine the volume of the solid that is bounded by the region z=16-y, z=y,…

Q: Compute the volume generated by the curve = 4 y = z about x-axis between x = 2 and x x2

A: Given curve is  revolved around x-axis ,so now we will find volume generated by intigration between…

Q: Calculate the volume of the solid bounded by the cone z2=x2+y2 and the cylinder x2+y2=4

A: Explained below

Q: Calculate the volume of the solid bounded by cone z2=x2+y2 and cylinder 4=x2+y2.

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Q: Find the volume of the region bounded above by the paraboloid z = 5 - x2 - y2 and below by the…

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Q: Find the volume in the first octant between z=9-x^2-y^2 and the cylinder x^2+y^2=1.

A: The given surfaces can be plotted as follows: Thus, the required solid will be R=x, y, z: 0≤x≤1,…

Q: Consider a rectangular box B that has a bottom and sides but no top and has minimal surface area…

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Q: Calculate the volume of the solid in the first octant bounded by the plane y = 4 and the cylinder z…

A: Volume is calculated using triple integration. Here x varies from 0 to 2 , y from 0 to 4 and z…

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: Compute the volume of the solid obtaihed by revoluing the the interval -11,11 . graph at the…

A: We need to find the volume of the solid obtained by revolving the graph of the given function in the…

Q: Find the volume between the cylinders x+y =1 and the cylinder x* +z* = 1 in the first octant. 2

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Q: Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate…

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Q: What is the volume in the first octant bounded by x2 = 16 – y and z + y = 16.

A: Given curves are

Q: 2) Find the volume generated by the area bounded by y = x², y = 4x, revolved about x-axis.

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x5 on the…

A: Given function,

Q: What is the triple integral that allows to calculate the volume of the = y² + ² solid Q?

A: Follow the procedure given below.

Q: Find the volume of the solid in the first octant bounded bythe cylinder z=16 -x2 and the plane y=5

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Q: What is the volume in the first octant bounded by x2 = 16 − y and z + y= 16

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Q: Compute the volume bounded by y=x²-2x and 3y +2x²-27=0 when it is revolved around the y-axis

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Q: Find the volume of the region under the surface z = and above the triangle in the xy-plane with 1+x2…

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Q: Find the volume of the solid bounded by the graphs of the equations: z = 3x + 3y?, x - y+1 = 0, 3x +…

A: This question is about application of intergal calculas

Q: find the volume of the sdid goneraded by revohing the '+2 aud y= -x*+h region bounded by y= x…

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Q: Find the volume of the region bounded by: x y +1 that is rotated about the x-axis.

A: Use volume formula about x axis

Q: . Find the volume bounded by z = 9 –x² – y² and z = 0. Give a numerical %3D answer.

A: Given that the region is bounded by z=9-x2-y2 and z=0. We know that the volume bounded between…

Q: Calculate the volume of the solid bounded by x2+y2=4 and y2+z2=4

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Q: 1) z = 2 – x² – 2y², z = 1

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

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -8+ y² and x = 2y about…

A: Given : x=-8+y2 , x=2y  and x=-9. Therefore, -8+y2=2y⇒y2-2y-8=0⇒y2-4y+2y-8=0⇒yy-4 +2y-4 = 0⇒y-4y+2 =…

Q: The area bounded by y=3Vx and 2y=3x is revolved about the y-axis. Using circular ring method, set up…

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Q: Find the volume of the solid bounded by x+y2=3z and x2+y2=6x.

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Q: first

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Q: Find the volume of the region bounded by z = x² + y² and z = 2x

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Q: Use a double integral to find the volume of the indicated nolid. 12 z- 12-X-y 11 10 4. 6. y 6 y-x

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