Find the surface area of ​​the solid intersection of the cylinders x² + z² = 1 and y² + z² = 1

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 7x2 +7y2 = 6.…

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Q: Find the volume of the solid under the surface z = = 3x + 5y²2 and above the region in the first…

A: Important guideline: As you didn't ask a question that is to be solved, so according to Bartleby's…

Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x³, x =…

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated…

A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 4x2 + 4y2, z = 0 and 6x2 +6y2 = 9.…

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Q: Find the volume of the solid bounded by: æy = 2, y = 0, æ = 2, and a = 4 a. about x = 1

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Q: Find the volume of the solid bounded by the xy-plane and the surfaces x2+y2=36 and z=x2+y2.

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Q: Calculate the volume of the solid bounded by the cone z² = x² + y² and the cylinder x² + y? = 4 %3D

A: Solution is given below:

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 3x² + 3y², z = 0 and 6x2 +6y² = 4.…

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Q: Find the volume of solid lying in the first octant bounded by the graphs of : z = 4 – x2 – y² , y =…

A: The volume of the solid in first quadrant is given by: V=∫ab∫cdf(z)dydx Now, find the range of the…

Q: Find the surface area of the solid of intersection of the cylinders  x2 + z2 = 9  and  y2 + z2 = 9

A: To find the surface area of the solid

Q: Find the volume under the surface z = 3x³ + 3x²y and over the rectangle R = {(x,y):1 < x < 3,0 < y <…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x²…

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Q: Find the volume of the solid generated by revolving the triangularregion bounded by the lines y =…

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Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A: Given that, y=2x+1, y=3, x=4 and the line y=10

Q: Find the volume of solids figure generated by rotating the area between y = 4x - 1 and thex- axis…

A: Given- The figure generated by rotating the area between y=4x-1, x-axis and the lines x=1 and x=3…

Q: Find the volume of the solid generated by revolving the triangular region bounded by the lines y =…

A: Draw the situation first.When it rotates around x=1 then the radius =1-xy=2x is givenSo,x=y/2

Q: Find the volume of the solid of revolution formed by rotating the bounded region about the x-axis.…

A: Consider the solid formed by the following curve. fx=4-x2,  y=0, x=-1 and x=1   Volume of the solid…

Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

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Q: Find the volume of the solid generated by rotating the area bounded by the lines y=x, y=2x and x=3…

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Q: Find the volume of the solid bounded above by enclosed by the curves z = 2 – a², z = x in the

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Q: Compute the volume of the solid bounded by the surfaces x²+y²=29y, z=0 and z=V x²+y².

A: We need to find volume.

Q: Find the volume of the region D enclosed by the surfaces z = x2 + 3y2 and z = 8 - x2 - y2.

A: Given surfaces are z=x2+3y2,z=8-x2-y2. The integral for the volume can be written as below.…

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

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 9x?, x = 1, and y = 0,…

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Q: Find the volume of the solid generated of the area bounded by y 8x and y 2x, rotated about %3D y =…

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Q: Find the volume of the solid of revolution bounded by the cirde x+y = 16, and the lines z = 0 and 8,…

A: Given curve is x2+y2=16 and line x=0 and x=8 about x-axis We have to find the volume of the solid of…

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 8x2 + 8y2, z = 0 and 6x2 +6y2 = 4.…

A: Let's find.

Q: Find the volume of the solid bounded by the cylinder x² + y² = 4 and the planes y+z= 4 and z=0.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given curve:and region bound are:We need to find the volume of solid obtained by the given curve for…

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: Find the volume of the solid obtained by rotating the region bounded by y=x2 and x=y2 about the line…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=8, and x=0 about…

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Q: Find the volume enclosed between the two surface :z x + y and z=3

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Q: Area bounded by y2 = x and x – y – 2 = 0, revolve about x = -1

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 4x2 +4y2 = 7.…

A: Given,  f(x,y)=10x^2+10y^2  ,  z=0  ,  and  4x^2+4y^2=7

Q: Find the volume of the solid bounded by surfaces z = /9-x2 - y2 , and z = /25 - x2 - y? and the…

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Q: Find the volume of the solid bounded above by the surface z = 4 – y² and below by the rectangle R =…

A: We have to find the volume of the solid bounded above by the surface z= 4 - y2 and below by the…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 4x², x = 1, and y = 0,…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x and y=xl/2) about the…

A: Solution:Giveny=x and y=x12To find the Volume of the solidFormula:V=2π∫abR(x)h(x)dx

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 given solid. Bounded by the cylinders z = 3x2, y = x2 and the planes z = 0, y…

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Q: Calculate the volume of the solid bounded by the surfaces given by x2 + y2 = 1, z = 0 and z= x2 + y2

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Q: Area bounded by y2 = x and x – y – 2 = 0, revolve about y = -1

A: Given curves are                                             y2=xx-y-2=0 revolved about…

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

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Q: Find the volume of the solid formed by rotating the region bounded by y = x² + 3, x = 0, x = 2, and…

A: The solid is formed by rotating the region y=x2+3, x=0, x=2 and y=0about the x-axis

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x2 + 2 and y…

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Q: Find the volume of the solid bounded by the xy-plane and the surfaces x2+y²=196 and z=x2+y².

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x - x and y = 0 about…

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