Express the volume of the solid lying inside the sphere x? + y2 + z2 = 36 and outside the cylinder x2 + y² = 9 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.

Q: Find the volumes of the solids generated by revolving the regionsbounded by the lines and curves…

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Q: Use spherical coordinates to find the volume of the solid. 2 Solid inside x² + y² y² + z² = 9,…

A: The spherical co-ordinate from a rectangular co-ordinate s given as, z=r cosϕx=rsinϕcosθy=rsinϕsinθ…

Q: Find the volume of the solid formed from revolving the region bounded by y = x2( x squared) + 4 , y…

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Q: Choose the correct triple integral in cylindrical coordinates to find the volume the solid enclosed…

A: Use triple integration

Q: Find the volume inside x2 + y2 = 4x, above z = 0, below x2 + y² = 4z in cylindrical coordinates. %3D

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Q: Find the volume and centroid generated by revolving the given plane area about the indicated axis.…

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Q: 2. x = 9-y?, y-axis; about x =9

A: Volume of the curve about x=9

Q: Use a triple integral in spherical coordinates to derive the volume of a sphere with radius a.

A: To find - Use a triple integral in spherical coordinates to derive the volume of a sphere with…

Q: use spherical coordinates to find the volume of the solid. Solid inside x2 + y2 + z2 = 9, outside z…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the lines and curves y…

A: By Disc/ washer method, Since there is formation of disc, Volume of solid generated by revolving the…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: We know that volume of solid obtained by rotating the region bounded by the curve y=f(x) and y=g(x)…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: problem in photo attached

A: The solid bounded by the given curves and rotating about x axis

Q: Use spherical coordinates to find the volume of the solid. Solid inside x2 + y2 + z2 = 81, outside z…

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Q: Use the method of cylindrical shells to find the volumeof the solid obtained by rotating the region…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the volume of the solid common to the spheres p = 2/2 cos o and p = 2, by doing integration…

A: To find - Find the volume of the solid common to the spheres ρ = 22cosϕ and ρ = 2, by doing…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region pounded by y…

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Q: Use the method of cylindrical shells to find the volumeof the solid obtained by rotating the region…

A: We have given that  y=x3 , y=8 , x=0 The formula for the cylindrical shell method for rotation about…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Calculate the volume of the solid which lies above the cone 3z2 = x2 + y² and below the sphere (x –…

A: Given solid lies above the cone 3z2=x2+y2 and below the sphere x-22+y2+z2=4

Q: Use cylindrical coordinates to find the volume of the solid. Solid inside both x2 + y2 + z2 = 36 and…

A: Here we have to find the volume of the solid inside sphere x2 + y2 + z2 = 36 and (x – 3)2 + y2 = 9…

Q: = " Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded…

A: By using cylindrical shells to find the volume of the solid obtained by rotating the region bounded…

Q: Find the volumes of the solids generated by revolving the regions bounded by the lines and curves y…

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the lines and curves y…

A: Volume by revolving curve around x axis.

Q: Use cylindrical coordinates to calculate the volume between the surfaces in the first octant if z =…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: A ball is drilled such that a cylindrical hole of radius 1 mm through a sphere of radius 5 mm is…

A: A cylindrical drill with a radius 1 mm is used to bore a hole through the center of a sphere of…

Q: Express the volume of the solid lying inside the sphere r +y +2 =4 and outside the cylinder z +y =1…

A: The given equation of the sphere is x2 + y2 + z2 = 4. Also the given equation of the cylinder is x2…

Q: 9. y=1-x2, y = 0, x=1, x 2; about x = 1

A: Here is the solution

Q: the volume of the solid in the first octant bounded by using z = 1+x² + y² and z = 4 using…

A: The volume is the amount of space occupied by the closed surface. It is measured in terms of the…

Q: Calculate the volume of the solid bounded inferiorly by the sphere (image 1) and superiorly by the…

A: Let, E be the region bounded below by the sphere x2+y2+z2=2z and bounded above by the cone z=x2+y2

Q: volume of the ellipsoid

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Q: 11. y = x, x =0, y = 5; about x-axis

A: Here is the solution

Q: By using spherical coordinates, find the volume of the solid bounded below by cone z=√√x² + y² and…

A: Given that the solid bounded below by the cone                          z=x2+y2 and inside by sphere…

Q: 3. y = 4x, y = 2x – 4; about y-axis

A: Here we find volume.

Q: Use spherical coordinates to find the volume of the solid. Solid inside x + y- + z² = 81, outside z…

A: To find the volume of the solid inside the sphere x2+y2+z2=81 and outside the cone z=x2+y2, and…

Q: Use cylindrical coordinates to find the volume of the solid bounded above by z = 3x and below by z =…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Find the volume rotating the region curve and line about x-axis.If the rotation is about x-axis,…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y…

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Q: Express the volume of the solid inside the sphere r+y +z = 16 and outside the cylinder x+y = 4 that…

A: Given sphere x2+y2+z2=16and circle x2+y2=4

Q: Use cylindrical coordinates to find the volume of the solid region bounded on the top by the…

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Q: Solve the volume of the solid generated by rotating about the y-axis y= 2x- x' und y = 0 using…

A: Given curve is, y=2x2-x3 and y=0

Q: ) The triple integral in Cylindrical coordinates с. ( that gives the volume of the solid that lies…

A: Given

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Given the curve y = 2x2, y = 12x - 4x2 We need to find the volume generated by rotating the region…

Q: Express the volume of the solid lying inside the sphere a2 + y? + z2 = 20 and outside the cylinder…

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Q: Use the method of cylindrical shells to find the volumeof the solid obtained by rotating the region…

A: Consider the provided curve, y=x,x=0  and y=2 Find the volume of the solid obtained by rotating the…

Q: Find the volume of the solid under z = V-x² – y' + 17 above the quarter circle inside x +y 4 in the…

A: Volume is a 3-dimensional quantity which describes the amount of space available in solid. Triple…