If two solids have the same height and all sections cut by planes parallel to their bases have equal areas, then the solids have the same volume

Q: Use calculus to find the volume of a tetrahedron (pyramid with four triangular faces), all of whose…

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Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to diameter of…

A: Draw the corresponding figure.   According to the figure, slant heights are AB and AC and the…

Q: 19. What is the volume of a square pyramid whose length of one side of its base is 9 cm and whose…

A: Volume of pyramid problem.....

Q: 1. In a rectangular solid, three edges which meet at one vertex are 5 m, 6 m, and 3 m. Find the…

A: Geometry

Q: What is the formula for volume of a sphere? O V= 4/3 n r^3 O V = 4/3 nr OV = 1/3 n r^3 O V = 4/3 n

A: Answer

Q: According to Cavalieri's Principle, which pair of shapes would have equal volumes? O A. a cone and a…

A: According to given cavalieri principle,we know

Q: According to Cavalieri’s Principle, which pair of shapes would have equal volumes?   A. a cylinder…

A: In the question it is asked to calculate which of the following shapes have equal volumes. A. a…

Q: A trailer that travels on the road behind a truck is in the shape of a rectangular prism. Its height…

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Q: Two stacks of 23 quarters each are shown. One stack forms a cylinder but the other stack does not…

A: We are given that there are two stacks of 23 quarters each. Also given that one stack forms a…

Q: A frustum of a regular triangular pyramid is inscribed in a frustum of a cone whose height and slant…

A: Let l be the slant height of the frustum of cone. ⇒l=13 cm Let h be the height of frustum of cone.…

Q: 20) In a right regular pentagonal pyramid, suppose that each base measures 4 cm and that the apothem…

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Q: A soccer ball is packaged in a cube-shaped box. 20 cm 10 cm 20 cm -20 cm- Which is closest to the…

A: Mensuration Question

Q: Each of the twelve edges of a cube of edge 2 cm is tangent to a sphere. Find the volume of that…

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Q: . A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting…

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Q: Enumerate and explain briefly each, at least FOUR (4) Solids for which the volume is calculated to…

A: Rectangular pyramid                                           volume = 13l*b*h  where l*b is area…

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: Given  The slant height and diameter of the cone is 12cm.

Q: Derive the formula for the volume of a right pyramid whose altitude is h and whose base is a square…

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Q: Which of the following has a volume less than 432 cubic inches? a right hexagonal prism with a…

A: Topic:- volume of shapes

Q: late the volume of a water cylinder with a total height of 10 meters and whose diameter is 400…

A: Given: Height of the water cylinder h = 10 m Diameter of the cylinder d= 400 cm =4 m radius of…

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

A: This question is based on application of derivative.

Q: Use calculus to find the volume of a tetrahedron​ (pyramid with four triangular​ faces), all of…

A: If a solid is from x =a to x= b and the area of its base is A then the volume of the solid is given…

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

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Q: A wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder…

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Q: 7. A stone bridge has three equal semicircular arches resting on four equal rectangular piers. The…

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Q: A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and…

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Q: An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions…

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Q: A diagonal of a cube joins two vertices not in the same face. If the diagonals are 4V3 cm long, what…

A: Given: A diagonal of a cube joins two vertices not in the same face. Length of diagonals are 43  cm…

Q: the

A: Explanation : The frustums of the triangular pyramid is drawn by,

Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions…

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Q: 4. In a regular pentagonal pyramid, each edge of the base has length of 9.2 cm, an apothem of length…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: 33. A sphere has a volume equal to in'. Determine the length of the radius of the sphere. (Use -

A: Given, Volume of sphere = 99/7 in.3

Q: 13 A poster is fo Contain 50cm² of printed matter with margins of pach side, Find the ouerall ICM…

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Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diamter…

A: GIVENslant height  length = diamter of sphere=diamter of cone17 cm=diamter of sphere

Q: 8. A frustum of a regukar triangular pyramid is inscribed in a frustum of a cone whose height and…

A: A frustum of a regular triangular pyramid is inscribed in a frustum of a cone whose height and slant…

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting a…

A: 1) Given:

Q: 2. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone whose…

A: Given: A regular pyramid with a central angle is inscribed in a frustum of a cone whose height and…

Q: 1. A box with an open top is to be constructed from a square piece of cardboard 3 feet wide by…

A: Introduction: The volume o the cuboid of side lengths a, b, c is given by, V=a×b×c

Q: A stone bridge has three equal semicircular arches resting on four equal rectangular piers. The…

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Q: 8. A box with an open top is to be constructed from a square piece of cardboard 3 feet wide by…

A: If you cut out square corners from a 3 ft by 3 ft. square piece of cardboard, the base of the box…

Q: derive formula for the volume of a Truncated tetrahedron and a Truncated cube Truncated…

A: volume of truncated tetrahedron=23122a3 For a regular tetrahedron, volume=212a3 we know that…

Q: ngr Thomas Pendot wants to construct a frustum from a right circular cone. At what distance from the…

A: Volume of cone with radius r and height h is given by…

Q: Use calculus to find the volume of a tetrahedron​ (pyramid with four triangular​ faces), all of…

A: Given that tetrahedron has edges with length, a = 17. Area of base will be…

Q: of a pyramid has an upper base 100m by 10m and a lower base of 80m by 8m. If the altit

A: The Upper base of  A frustum of a pyramid = 100m by 10m Lower base = 80m by 8m The altitude of the…

Q: 3. Show that the volume of a truncated prism whose right section is a paral- fologram is the product…

A: As per the question we have to prove the volume formula of the truncated prism whose right-section…

Q: The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: If the edge of a cube is doubled, which of the following is incorrect? The volume is increased 8…

A: topic - cubes

Q: 6. Consider a right-circular cylinder of diameter 1. Form a wedge by making one slice parallel to…

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Q: A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed.…

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