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Q: 3) Sketch a right square pyramid with height 4 units and base in the x-y plane as shown. Then state…

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Q: 2. A toolbox is shaped like a rectangular prism with a square bottom.. Its top and front are…

A: Let the length=L Width=W Height =H The surface area of the four metal faces =  176 square inches

Q: Find the volume of the tetrahedron bounded by x+y+z = 1 and the three Coordinate planes. 7 Ston

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Q: Find the volume of the solid V in the first octant bounded by x + y + z = 5 and x + y + 4z = 5. (Use…

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Q: Find the volume of the tetrahedron bounded by 2x−y+z = 4 and the coordinate planes.

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Q: Guestion 3 ) Find the irgest volume of a re made by cutting little squeres of on bm. x 14m.…

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Q: Which are the dimensions to a right rectangular prism with a volume of 270 cm³ and base area of…

A: This question is based on mensuration.

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: If V=i +2j+3K, V,=zi +2j +2K, V = 3i+3 j +K, find the Volume?

A: Given vectors are V1→=i+2j+3kV2→=2i+2j+2kV3→=3i+3j+k So volume is V1→.V2→×V3→

Q: Find the Volume in the figure of the solid shown <5 + x² + 3y2 + 2 y

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Q: Prove mathematically that a cylinder with hemispherical ends that has the same volume as a sphere…

A: Let r be the radius of the hemispherical end. Let h be the height of the cylinder. Let r' be the…

Q: b) Express the area of the pool, A in terms of I and r.

A: We need to solve the part (b) of the question :

Q: What is the volume of the figure between the planes z = x + y and z directly above the rectangle…

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Q: Which shape represents the front viaw of this thrao-dimensional salid? front

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Q: ABCD is a rectangular base of pyramid VABCD with dimensions of 16cm by 12cm. Given that VA = VB = VC…

A: I have appended the formula used in the solution part of the question

Q: Find the volume of the region inside both z2 + 4 = x² + y² and x2 + y? + z2 = 16.

A: Given that, z2+4=x2+y2, x2+y2+z2=16 Intersection of both curve is, x2+y2+x2+y2-4=16x2+y2=10 So the…

Q: (15) Evaluate ///, y dV where D is the solid cut from the cylinder 2² + y? = 1 by the planes z = 0…

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

Q: Let B be the solid whose base is the circle x2 + y2 = 361 and whose vertical cross sections…

A: Given that B be the solid whose base is the circle            Radius of the circle        At…

Q: What is a cycloid?

A: we know that cycloid is the curve traced by a point on a circle as it rolls along a straight line…

Q: Find the volume

A: We have to find the volume from the given region