Find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a right circular cone whose radius is 3 in and whose height is 10 in. What is the maximum volume?

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 silo consists of a right circular cylinder surmounted by a right circular cone cover. What is…

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Q: Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a…

A: Let r be the radius of the cylinder and h be the height of the cylinderR is the radius of the sphere…

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A: To find- dimensions of the cylinder.

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Q: The volume of the closed cylindrical tank is 11.3 cubic meter, if the total surface area is a…

A: Given; The volume of the closed cylindrical tank is 11.3 cubic meter.

Q: Find the dimensions of a cylindrical can with a volume of 666 in^3 that minimizes the surface area.…

A: To find the dimensions of a cylindrical can with a volume of 666 in3 that minimizes the surface…

Q: Show that a closed right circular cylinder of given surface has maximum volume if its height equals…

A: Let, the surface area be S, radius be r, height be h and volume be V. The total surface area be…

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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: Determine the maximum volume of a cylinder that can be inscribed in a sphere with radius of 10cm.…

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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 dimensions (radius r and height h) of the cone of maximum volume which can be inscribed in…

A: According to our company policy, I am supposed to answer only one question at a time so for the rest…

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 maximum and minimum volumes of a rectangular box whose, surface area is 1300 cm² and whose…

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Q: Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a…

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

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Q: A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 7.5.…

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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…

A:

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: Find the exact maximum and minimum volumes (in cm) of a rectangular box whose surface area is 1,300…

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Q: Show that the largest cylinder that could be inscribed in a sphere of radius 4Tr3 r has a volume of…

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Q: 3. Show that a closed right circular cylinder of given surface has maximum volume if its height…

A: Let r, h be the radius and height of the cylinder respectively and V, S be the Volume and Surface…

Q: find the dimension of a cylinder that can be inscribed in a given sphere if it's convex surface area…

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Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

A: using double derivative test to find out height when cylinder volume would be maximum.

Q: 1. Find the height of a right circular cylinder of maximum volume that can be inscribed in a sphere…

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

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

A: Solved below

Q: Find the surface area of the portion of the half ball with radius a which cuts off by the cylinder…

A: The equation of a ball with radius a is x2+y2+z2=a2. The surface area of the function z=fx,y over…

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: 4. Find the radius of the right circular cone with least volume that can be circumscribed about the…

A: Formula Used: Volume of Cone = 13πR2h where R,h denote the radius and height of right circular…

Q: Find the dimensions of a rectangle of maximum area inscribed in a circle of radius 4. (Must show…

A: Let ABCD be the rectangle inscribed in the circle of radius 4. AC and BD are the diameters of length…

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Q: estimate the maximum possible error in the volume of the cube if the sides are 6ft with a  possible…

A: To estimate the maximum possible error in the volume of the cube

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A: To Determine: What is the maximum volume of that  cylinder. Given:  A rectangle with a fixed…

Q: The total surface area of an industrial cylindrical autoclave is to be limited to 20 m². If it is…

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

Q: An open box is to be made from a piece of cardboard measuring 10 in by 8 in. Calculate the maximum…

A: Consider the height of the box to be x inches. The length and width of the box is reduced by the…

Q: 2. Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

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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: Neyinder is inscribed in a right circular cone of height 2.5 and radius (at the base, equal to 3.…

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Q: ) Find the surface area of the closed circular cylinder of greatest volume that can 5.(Total. be…

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Q: Right circular cones of height h and radius r are attached to each end of a right circular cylinder…

A: Let Vcr be the volume of the cone and Vc be the volume of the cylinder. So, Vcr=πr2h and Vc=13πr2h.

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

A: Topic = Application of Derivative

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.