b) M. dv, where G is the solid region that lies between the sphere x? + y? + r+y?+z? z2 = 36 and the cone z = x + y?

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A: (4) Consider the provided question, According to the provided question, draw the graph of the given…

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Q: Compote the volume of a reoion inside the Sphere x" +Y? +z² =4 ond between two sheets of the…

A: We have to find V0, V0 = Volume of sphere - V1-V2And from Symmetry we know that V1 = V2⇒V0 = Volume…

Q: Evaluate , ydV where E is the hemispherical solid region x? + y? + z? 0.

A: x^2+y^2+z^2 <=64, y>=0

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A: This question is based on application of Integration.

Q: 25. Find the volume of the solid that is enclosed by the cone z = Vx² + y? and the sphere 22 + y? +…

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Q: B) Show that V=367 is the volume of a sphere of radius 3 by using spherical coordinates.

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Q: Use the disk method to verify that the volume of a sphere is 4/3 πr3 , where r is the radius ?

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A: We have to find area of the region bounded by the circle given in the first quadrant of the plane.

Q: 27. Find the volume of an ice cream cone bounded by the hemisphere z '8 – x² – y² and the cone z Va2…

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Q: ind the volume of the solid whose base is a circular disk of radius R, centered at the origin and…

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A: Given: (x-2)2+y2=1

Q: 25. Find the volume of the solid that is enclosed by the cone z = /x² + y² and the sphere x² + y² +…

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Q: Assume a to be a nonzero real no.. Determine the area of the portion of surface xy = az in the fir…

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Q: Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle…

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Q: Use the Theorem of Pappus to find the exact volume of a general cone created vertices (0, 0), (1,0),…

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Q: 1- Find the volume of the solid generated be revolving the shaded region about the given axis. About…

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Q: b) Find the volume of the solid which is in the first octant and bounded between the spheres p = 1…

A: To find- Find the volume of the solid which is in the first octant and bounded between the spheres ρ…

Q: 8. Find the surface area of the part of the sphere x2 + y? + 22 : = 4z that lies inside the…

A: The solution is given as

Q: Find the volume of the solid lying above the cone z = +y? and below the sphere z + y² + z? = 4.

A: Cone:-  z2 = x2+y2 Sphere:- x2+y2+z2 = 4

Q: 6. What is the volume of the region which lies between the spheres p = 3 and p= 2 cos o, and inside…

A: we have to find the volume of the region which lies between the sphere ρ=3 & ρ = 2cosϕ and…

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

A: Topic:- volume

Q: 5. By using suitable coordinates, find the volume of the solid bounded above by the sphere a² + y2²…

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Q: Find the volume of the solid bounded by the sphere x² + y² + =? = 6 and the paraboloid := x² +y² .…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. Find the volume of the solid that lies within both the cylinder a²+y² = 1 and the sphere a2+y² +…

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Q: Show that the rectangular box (including the top and bottom) withfixed volume V = 27 m3 and smallest…

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Q: The volume of the parallelepiped is Volume = |a x b||c|| sin | = |(a × %3D b). c| True False

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Q: 19 - Computer the volume of the solid enclosed between two cones: z = Va? + y? and z = 2 – V2? + y°…

A: Please see the answer in Step 2

Q: 2. Use a spherical coordinate system (p, 4, 0) to find the volume between (Зx2 + Зу?. the sphere x?…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Find the volume.

A:

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: Calculate the area of the surface S. x2 y² _ z2 that lies between z = 2 and z = 6. S is the portion…

A: Explained below

Q: 8. Show that the volume of the region bonded by the cone z = Vx² + y² and the paraboloid z = x? + y²…

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Q: Find the volume of the solid that lies under the elliptical paraboloid z = 2x2 + y? +4 and above the…

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Q: Find the surface area of a sphere of radius r

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Q: 9. Find the volume of the solid enclosed by the cone z = Vx? + y? and the plane z = 4.

A: we have to find the volume of the solid

Q: 11- Find the volume of the solid that lies within both the cylinder x2 + y? = 1and the sphere x2 +…

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

A:

Q: Use the method of disks to rotate a circle of radius r around the x axis and prove that a sphere of…

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Q: Calculate the volume of the region bounded by the sphere a2 + y? + z? = 5 from above and by the cone…

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Q: find volume 31. The region in the first octant bounded by the coordinate planes, the plane x + y =…

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Q: 1) A) Find the area of the portion of the sphere x? + y + =9 lying inside the cylinder x2 + y? = 3y.

A:

Q: Find the area of the part of Sphere x? + y? + z? = 16 that is outside the paraboloid z=16 – x² – y?.…

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Q: Use the disk method to verify that the volume of a sphere is (4/3)π r3 , where r is the radius.

A: Volume of sphere of radius r is (4/3) πr3

Q: Find the volume of the first-octant portion of the "wedge" of the sphere x? + y? + z? = 64 bounded…

A: