Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 17. The radius is The height is .

Q: Find the between the porabolas area 2. X+2 メ+ 2.

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Q: Find the height of a right circular cylinder of maximum volume, which can be inscribe in a sphere od…

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Q: Find the height of the cylinder that can be put into a cone with radius 7 cm and height 12 cm and…

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Q: For an closed cylinder with radius r cm and height h cm, find the dimensions giving the minimum…

A: To find- dimensions of the cylinder.

Q: The diameter and height of a paraboloid are 1 m and 2 m respectively. Determine its dimensions when…

A: Given, Diameterd=1 mHeighth=2 m The formula for finding the volume of the paraboloid is, V=π2hr2

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A: Mass density is defined as the mass per unit volume. gm/cm3 is, therefore, a unit of mass density.…

Q: A right-circular cone is to be circumscribed about a sphere of given radius. Find the ratio of the…

A: Let R be the radius of the cone, l its slant height and h be the height. V= 13πR2h We have to make…

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,

Q: What are the dimensions of the lightest open-top right circular cylindrical can that will hold a…

A: Here volume of the can is equal to the volume of the cylinder. So volume of the can can be expressed…

Q: find the maximum valume of a cone given that the sum of the radius and height of the cone is 15 cm.

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Q: The total surface area of an industrial cylindrical autoclave is to be limited to 20m^2. If it is…

A: Total surface area of the cylinder = 20 m2Formula for calculating the total surface area of the…

Q: Find the dimensions of a cylindrical can with a bottom but no top of volume 4 m3 that uses the least…

A: To Find: Dimension of a cylindrical can with a bottom but no top of volume 4 m3that uses the least…

Q: 3. What are the dimensions of the closed cylindrical can that has surface area 280 square…

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Q: You are to construct an open rectangular box from 12 ft2 of mate-rial. What dimensions will result…

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Q: A sphere has a radius of 5.81 in., with a possible error of ± 0.003 in. Estimate the maximum error…

A: For a sphere of radius r the expression for the volume is V=43πr3. The error in r is denoted as ∆r.…

Q: Find the volume of the smaller wedge cut from a sphere of radius 10 by two planes that intersect…

A: Here we have to find the volume of the similar wedge cut from a sphere of radius 10 by two planes…

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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.

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Q: A closed box is in the shape of a rectangular solid with height 3 m. Its surface area is 268 m2. If…

A: Consider the closed box is in the shape of rectangular solid having height 3 m. The surface area of…

Q: Find the height of the cylinder that can be put into a cone with radius 7 cm and height 12 cm and…

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Q: A rectangular storage container with a square base and an open top is to have a fixed volume of…

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

A: Draw the diagram roughly.

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…

Q: Find the height of the cylinder that can be put into a cone with radius 7 cm and height 12 cm and…

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

A: NOTE: Refresh your page if you can't see any equations. . the radius of the sphere is R=12 the…

Q: Solve for the radius of a right circular cone of maximum volume which can be inscribed in a sphere…

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Q: Solve for the radius of a right circular cone of maximum volume which can be inscribed in a sphere…

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Q: Find the maximum volume of a cylindrical can such that the sum ofits height and its circumference is…

A: Let r denotes radius       h denotes height Then       volume of cylinder (V) = πr2h Restriction is…

Q: If a closed tin can of volume 16? in3 is to be in the form of a right-circular cylinder, find the…

A: Consider the provided question, In your question given, If a closed tin can of volume 16? in3 to be…

Q: A cylindrical can has a volume of 1024r cm. What dimensions yield the minimum surface area?

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Q: The volume of the closed cylindrical tank is 11.3 m 3 . If the total surface area is a minimum, what…

A: Given: Volume of cylindrical tank is 11.3m3.

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 cylindrical can is to have a volume of 400 cubic centimeters. Find the dimensions (height and…

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Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins.  What…

A: Given volume of the can is (128)πcm3 Let height=h radius=x

Q: 2.Find the volume of the largest circular cylinder that can be inscribed in a sphere of radius R

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Q: The volume of a right circular cone is 36 t. If its altitude is 3, find its radius.

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Q: A right triangle with hypotenuse of 5/3 inches is revolved about one of its legs t generate a cone.…

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Q: The volume of the sphere with the radius 7 is = %3D cubic units

A: Consider the given: It is given that:Radius,r = 7Volume of sphere = 43πr3

Q: here having a radius of 3cm. is cut in the shape of a circular cone of maximum volume. is the…

A: Topic:- application of derivatives

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: Consider a right circular cylinder open top tin can with volume 1000 cm?. suppose R and H are the…

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Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

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Q: Find the dimensions of the open cylindrical tank where the volume inside is maximized and that the…

A: Let r, h  be the radius of the cylindrical tank. Now, Let S represent the  Surface area  of the open…

Q: A cylindrical diet coke can is being made out of 54π in2 of material. What dimensions maximize the…

A: Given Material used in cylindrical diet coke= 54π in2 Want to maximize the volume of A cylindrical…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.