Find the minimum volume of a right circular cylinder that can be inscribed in a sphere having a radius r. A. 1/N3 volume of sphere B. v3 volume of sphere C. 2/N3 volume sphere D. v2/N3 volume of sphere

Q: A circular cylinder is to be generated by revolving a rectangle with a given perimeter p around one…

A: Step 1   Perimeter = pGiven rectangle of length = h, width = r is revolved and circular cylinder is…

Q: A closed, rectangular-faced box with a square base is to be constructed using only 16 m? of…

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Q: show that :(A) the space of a cube is twice the surface of its diagonal. (B) The volume of a cube in…

A: Consider the lower base of a cube. Use Pythagorean Theorem in order to solve for the hypotenuse or…

Q: A closed rectangular box has volume 60 cm³. What are the lengths of the edges giving the minimum…

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Q: Show that a rectangular box of given volume and minimum surface area is a cube.

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Q: A rectangular solid with a square base has a volume of 5,832 cubic inches. (Let w represent the…

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Q: 1) The volume of an open box with a square base is 4,000 cu.cm. Find the dimensions of the box if…

A: First the base is given as square so assume that the sides of the square base is x then the width…

Q: A rectangular solid with a square base has a volume of 5,832 cubic inches. (Let w represent the…

A: (a) Let w be the length of the sides of the square base and h be the height of the solid. Let V be…

Q: The minimum surface area for a given volume of a Occurs when the height is equal to the O length,…

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Q: Find the dimensions of the right cylinder with largest volume that can be inscribed in a sphere with…

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Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

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Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A: Use the formula for calculate the surface area and the volume of the tank: 1). SA = x2 + 4xy 2). V =…

Q: A closed rectangular box has volume 30 cm³. What are the lengths of the edges giving the minimum…

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Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

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Q: Determine the dimensions of a rectangular box with a volume of 1 ft ^ 3 that has a minimum surface…

A: Given a rectangular box with volume 1 ft^3

Q: 15. Let the cap of height h in a sphere of radius r have volume V.

A: In this question we will use basic of calculus i.e application of integration. We will assume a…

Q: A closed rectangular box has volume 26cm^3. What are the lengths of the edges giving the minimum…

A: Given a rectangular box which has volume 26 cm^3.

Q: Consider an open top rectangular box with a square base. Find the dimensions of the box for which…

A: S

Q: Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the…

A: Given:              A regular polyhedron of n faces is inscribed in a sphere of radius length 6 in.

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

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Q: 3. Find the dimensions, r and h, of the right circular cone of minimum volume which can be…

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Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A: Let x and y be the base and height of the rectangular metal tank.  Given, volume = 36 ft3 Find the…

Q: The minimum vertical dimension (B) for the junction box shown in the Figure is _______

A: Given vertical dimensions of diodes are  3+2+2(1/2) = 7+(1/2) inches Vertical dimensions can fit…

Q: A rectangular container with a square base, an open top, and a volume of 256 cm3 is to be made. What…

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Q: A rectangular box is designed to have a square base and an open top. The volume is to be 4000 in.…

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Q: Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of…

A: Given, The dimension of the rectangle of the largest area can be inscribed in a semicircle of radius…

Q: A rectangular box, open at the top, is to contain 32 in³. Find the dimensions of the box for which…

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Q: A cylinder with no top is to have a volume of 100π cubic centimeters. Find the minimum possible…

A: To find the minimum possible surface area of the given type of cylinder.

Q: A rectangular container with a square base, an open top, and a volume of 1,372 cm3 is to be made.…

A: Given:The rectangular container contains a square base and an open top.The volume of the container…

Q: a

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Q: A rectangular tank with a square​ base, an open​ top, and a volume of 37,044 ft3 is to be…

A: Given,Volume of the rectangular tank = 37044 ft3

Q: A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out…

A: Suppose that the box height is h=4 in. and that it is constructed using 156 in.^2 of cardboard…

Q: 10. The minimum surface area for a given volume of a cylinder occurs when: *

A: The volume of the cylinder is V=πr2h therefore, h=Vπr2 the surface area of the cylinder is given by…

Q: 11. A telephone booth in the shape of a square-based prism is to have a volume of 832 m³. Determine…

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Q: A box, used to package men's shirts, is in the shape of a square-based prism and its to have a…

A: Given Data: The volume of the square-based prism is: V=8400 cm3 The equation of surface area is:…

Q: A rectangular tank with a square base, an open top, and a volume of 8788 ft 3 is to be constructed…

A: A rectangular tank has square base Let x be the base of the tank  and y be the height  x is the…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A: Given:- A company is constructing an open-top, square-based, rectangular metal tank that will have a…

Q: Suppose there is a rectangle with length L and width W (W<_L) (in inches) that has an area of 169…

A: Since, we know that Area=Length×Breadthand Perimeter=2(Length+Breadth)Here Length=L and…

Q: Find the dimensions of the rectangle enclosed in the semicircle y= V144-x with the largest possible…

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Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

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Q: The volume of a closed cylinder tank is 11.3 m3 . If the total surface area is a minimum ,what is…

A: Introduction :

Q: A company is constructing an open-top square- based rectangular tank that will have a volume of…

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Q: 6. Show that when a hole of radius a is bored through the center of the sphere of radius b, the…

A: Given: The radius of the sphere is b. The radius of the hole is a. We have to show that the volume…

Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of…

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Q: Determine the dimensions of the inscribed rectangle of maximum area.

A: Determine the dimensions of the inscribed rectangle of maximumarea.

Q: If an open box has a square base and a volume of 103 in.3 and is constructed from a tin sheet, find…

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Q: A poster is to contain 300 m^2 of printed matter with margins of 10 cm at the top and 5 cm at each…

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Q: A triangular prism has a base which is an isosceles right triangle. If the volume of the prism is…

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Q: A box with a square base and no top has a volume of 500 cubic inches. Find the smallest possible…

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Q: A rectangular tank with a square base, an open top, and a volume of 16,384 ft° is to be constructed…

A: Given : Volume of rectangular is given 16384 ft3  Now we find surface Area and dimensions