Find the dimensions of the right circular cylinder of greatest volum that can be inscribed in a sphere of volume 2887 cubic feet?

Q: Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show…

A: Given:Perimeter of a rectangle is 68 m.

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Q: Find the height of the largest volume of a right cylinder that can be inscribed in a right circular…

A: Cone          Cylinder   Radius         r                   x   Height         h…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

A: Consider a rectangle, inscribed in a circle of radius r.Then,

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Q: A square piece of cardboard of side a is used to make an open-top box by cutting out a small square…

A: Since, a square piece of cardboard of side 'a' is used to make an open-top box by cutting out a…

Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

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A: Let h is the dimension  of the square which are being cut at each corner of the cardboard, so The…

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Q: A rectangle with perimetee 18 cm is rotated about one of its sides forming a a right circular…

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

A: We need to find dimensions of cylinder.

Q: Find the volume of the largest cylinder that can be inscribed in a right circular cone of radius 3…

A: Solution

Q: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a…

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Q: Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

A: Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

Q: Find the length of the radius and the altitude of the cylinder of greatest volume if the radius…

A: Find the length of the radius and the altitude of the cylinder of greatest volume if the radius…

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Q: Find the largest volume of a right cylinder that can be inscribed in a sphere of radius 12

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Q: A 63-inch by 168-inch pieceof cardboard is used to make an open-top container by removing a square…

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Q: A piece of wires 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let the square be cut =yThen the equilateral triangle will be =10-yTotal area=Area of square+Area of…

Q: from a piece of cardboard that is 24 cm by 48 cm ,cut equal squares out of the corners . fold up the…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

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Q: Find the greatest volume that a right circular cylinder can have if it is inscribed in a sphere of…

A: Here we have to find the greatest volume that a right circular cylinder can have if it is inscribed…

Q: Determine the dimension of a rectanglular solid with a square base with a maximum volume of its…

A: Volume V=x2y Surface area=2x2+4xy

Q: Find the total rebound distance of a ball that is dropped from a height of 7 m, with each rebounds…

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Q: Calculate the maximum volume of the open-topped box made by cutting out four equal size square…

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Q: We have 36ft2 of material to build a box of maximum volume with a square base and no top. What is…

A: To find the dimension of the square base for the optimum volume

Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

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Q: Find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a…

A: Given, Radius=3 inch Height=10 inch The formula for the volume of a cylinder is, v=πr2h Let, x be…

Q: A piece of wiren 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Length of the wire is 10 m. Let the length used for the square be x. Thus, the length used for…

Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius a.

A: Let x and y be the length and width of the rectangle inscribe in a circle of radius a. Then the…

Q: Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Find the dimensions of the rectangular box of maximum volume formed by a given rectangular sheet.

Q: What the maximum area of a triangle which is inscribed in a circle of radius 4cm and one of its…

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Q: Find the maximum volume of a rectangular box with no top that has a surface area of 48 square…

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Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

A: We have to find the maximum area of given rectangle.

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

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Q: If an open box is made from a metal sheet 33 in. by 33 in. square by cutting out identical squares…

A: Given information: The length of the square is 33 inches that has been transformed to cuboidal box…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: Let base of the rectangle = 2x and height = y

Q: A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be filled with water. If a If…

A: Given: The radius of the cylindrical tank (r)=0.75 meters The height of the cylindrical tank (h)=…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r .

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius 6…

A: Please refer the attached image for complete solution.

Q: Find the dimensions of a right-circular cylinder of greatest volume that can be inscribed in a…

A: Given that: A sphere of radius 10 in.

Q: Suppose an airline policy states that all baggage must be rectangular with a sum of length, width,…

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Q: What are the dimensions of the base of the rectangular box of greatest volume that can be…

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

A: We have to find the dimensions of cylinder.