Find the volume of the solid bounded by the paraboloid z = 28 – a? – y?, the cylinder 22 + y² = 14 and ry-plane. O 196T 98Tt 49Tt 686t O 343t O 147T O 294T

Q: Find the volume of the solid cut from the cylinder x? + y? = 100 by the planes z = O and a + z = 7.

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Q: Use the Theorem of Pappus to find the volume of the given solid. the solid obtained by rotating the…

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Q: Find the surface area of that portion of the sphere x² + y² +2²= 8 which lies in the first octant,…

A: The given problem is to find the surface area of portion of the given surfaces. Given portion of…

Q: Find the volume of the solid enclosed by the parabolics Z= 4CX²+y²² Jand 2 = 32- 4(x² + y²)

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Q: Find the volume enclosed by the cy linder (x-1) ty²=1 and the sphere x² +y²7z²=L4.

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A: We have to find the volume of the largest rectangular box in the first octant with three faces in…

Q: Find the volume enclosed by the cylinder y² + z² x+y = 4 and z 2x = = 10. O O 32n 40π 44T 36π - - 4…

A: Let V be the volume of a solid region D, then

Q: Find the volume of the solid enclosed by the paraboloid x² + y² = 2z, the xy-plane, and the cylinder…

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Q: Solve for the centroid coordinate

A: Solve for the centroid coordinate

Q: Evaluate z* + x dS where S is the cylinder x2 + y? = 36 between the planes z = -3 and z = 1,…

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Q: Find the volume of the solid by subtracting two volumes. the solid enclosed by the parabolic…

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Q: Find the area of the plane z 2y + 5z = 13 cut out by the cylinder x² + y² = 9. area=

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

A: Given that  Plane x+7y+10z=70  To find the largest volume

Q: Find the volume of the solid bounded below by the circular paraboloid z = x² + y² and above by the…

A: We want to evaluate volume of solid below by the paraboloid z = x2 +  y2  and above the…

Q: Find the volume of the solid by subtracting two volumes. the solid enclosed by the parabolic…

A: The equation of parabolic cylinders :   The equation of the planes:The aim is to find the volume of…

Q: Find the volume of the solid that lies within the sphere z² + y² + 0 16, above the zy plane, and…

A: Given: The sphere x2+y2+z2=16 and the cone z=6x2+y2 To find: The volume of the solid that lies…

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3