If E is the region inside the sphere x2+y?+z² = 4, below the 3x2 +3y? and y 2 0, then the integral in spherical cone z = coordinate that represents the volume of E is A) S S, S p²sino dpdodø B) S. S S, Psino dpdodø C) S. S Ssino dpdodo D) S S, S, ºsino dpdodø 0. E) S. S, S, ºsin dpdodø

Q: Find the volume of the following solid bounded by two paraboloids. laces

A: In this question, we find the volume bounded by two surfaces. Here first we use the integral to find…

Q: Find the volume of the following solid using triple integrals. The wedge of the cylinder x2 + 25y² =…

A: Cylinder x2+25y2=25Planes z=3-x and z=x-3We have to calculate the volume using the triple integrals.

Q: 1. Suppose that D is the region bounded by the paraboloid r = y? +z? and the plane I+ 42 = 4. Set…

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Q: Prove that the volume of the sphere x² + y² + z² = a² is V =÷na³

A: In this question, we find the volume of sphere by using triple integral

Q: Use the Theorem of Pappus to find the exact volume of a general cone c with vertices (0, 0), (3, 0),…

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Q: Let B be the sphere x2 + y? + z2 = 1. %3D The volume of the portion of B contained in the first…

A: x2+y2+z2=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: ) show thet the pants ACいらり)。 B(2,2,2)) c(o,1,5) and D(1,0,5) are coplanear (in the Same plane). )If…

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Q: Find the volume of the solid that lies within the sphere x² + y² +z² =9, above the xy-plane, and…

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Q: 3. Find the volume of the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and x + %3D y + 2z =…

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Q: The volume under the plane z – 1² – 2y? = 0 and above the region enclosed by the line y = I- 128 and…

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Q: 1. Compute the volume of the solid bounded by the hemisphere z = √√4c²-x² - y² and the horizontal…

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Q: Suppose E is the solid which is below the plane z= 3 and inside both the cone = Vx* + y° and the…

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Q: 3. Find the volume of the solid that lies between the paraboloid z = x² + y² and the sphere x2 + y²…

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Q: Find the volume V inside both the sphere x² + y² +z² = 1 and the cone z = V/x² + y².

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Q: Let S be the region bounded by Pi = 2, P2 = 3,81 = z,82 =.91 =5, and 2 = a in spherical coordinates.…

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Q: Find the volume V of the solid E that lies above the cone z = x² + y² and below the sphere x2 + y2 +…

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Q: find volume 26. The wedge cut from the cylinder x2 + y? = 1 by the planes z = -y and z = 0

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Q: Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² +…

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Q: Prove that the volume of the sphere x2 + y² + z² = a² is V = na³ using triple integrals.

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Q: Determine the volume of a four dimensional unit sphere: x, =r sin 8, sin 8, cos p, x, =r sin 0, sin…

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Q: If E is the region inside the sphere r2 + y? + z² = 4, below the cone z = /3x² + 3y², above z = gral…

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

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

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

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Q: If E is the region inside the sphere x2 + y² + z² = 4, below the cone z = V3x2 + 32, above z = 0 and…

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Q: 7. Determine the volume of the region that lies under the sphere x² + y² +2²=9, above the plane z =…

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Q: Let B be the sphere x? + y + z? = 4. The volume of the portion of B contained in the first octant is…

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Q: Find the volume bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

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Q: Find the volume of the solid bounded by the paraboloid z = 28 – x² – y², the cylinder a? + y? 14 and…

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Q: Find the volume of a region bounded by the xy plane (z = 0) and z = 9 – x² – y?. (Hint: in spherical…

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Q: The volume of the solid enclosed by the surface z = 1/y and the rectangle 2 <r<4, 1<y<e in the…

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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: 1.) Find the volume of the wedge of the cylinder a + 25y z = r-4 using a triple integral in…

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Q: Find the volume of the following solid using triple integrals. The wedge of the cylinder x2 + 16y2 =…

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