Find the dimensions of a cylindrical can with a volume of 666 in^3 that minimizes the surface area. Radius, r= Height, h= Minimum surface area S=

Q: A cylindrical container with a circular base and open top must have a volume of 1000 m³. Find the…

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Q: Determine the dimensions of the right circular cylinder of maximum lateral surface area that can be…

A: Maximum lateral surface area will occur at critical point  So put ds/d(theta) = 0 Find theta

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…

Q: A book is to contain 36 in2 of printed matter per page, with margins of 1in along the sides and…

A: To find: The dimensions of the page that will require the minimum amount of paper. Given…

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Q: About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be measured…

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Q: A tumor is approximately sphericalin shape. If the radius of the tumor changes from 14 mm to16 mm,…

A: A tumor is approximately spherical in shape. If the radius of the tumor changes from 14 mm to 16 mm,…

Q: Find the radius and height of a right circular cylindrical can with both a top and a bottom that…

A: First we need to obtain an expression for the Total Surface Area of the can as a function of single…

Q: A cylindrical can without a top is made to contain 381 in³ of liquid. Find the dimensions that will…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Find the dimensions of the right-circular cylinder of greatest volume that can be inscribed in a…

A: This is a problem of the Application of differentation.

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

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Q: ) A company manufactures cylindrical metal drums with open tops with a volume of lcubicmeter. What…

A: Given that volume=V=1m3what should be the dimensions of the drum in order to use the least amount…

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

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Q: Show that it is not possible to design a cylindrical can (with top and bottom) of volume 900 cubic…

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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: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…

A: The solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. So, the…

Q: The steel sheets used for constructing the reservoir are with the same uniform thickness. Determine…

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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: A cylinder with length 1 m and radius 5 cm has a cone of the same radius and length of 10 cm…

A: We will find out the required value.

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: The possible error involved in measuring each dimension of a right circular cone is ±1/8 inch. The…

A: Given:  Error=±1/8 inch. The radius is 2 inches and the height is 5 inches. Formula used: The Volume…

Q: A cylindrical can with one end is to be made with 24n cm² of metal. Find the dimensions of the can…

A: Given that, So, the surface area, S=24π cm2 Let, the radius be r and the height be h. As the…

Q: Find the dimensions (both radius and height) of a soup can with a volume of 432 cm³ that minimize…

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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: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 4.…

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Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

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Q: The closed right circular cylindrical can of smallest surface area whose volume is 686r cm³ has a…

A: Topic = Mensuration

Q: Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the…

A: Let 2x, 2y, 2z be the dimensions of rectangular box. Then Let

Q: Find the radius of the right circular cone having a lateral area of 544.122 square meter to have a…

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Q: Consider a rectangular box B that has a bottom and sides but no top and has minimal surface area…

A: Given information: V=64 m3

Q: A company manufactures cylindrical metal drums with open tops with a volume of lcubicmeter. What…

A: Let the radius of the cylinder is =r and the height of the cylinder is =h The volume of the cylinder…

Q: A MANUFACTURER NEEDS TO MAKE A CYLINDRICAL CAN THAT WILL HOLD 1.5LITRES OF LIQUID . Determine the…

A: Given :  volume of the cylinder π r2h      Surface area = 2 π r h + 2 π r2 To Minimize: Surface…

Q: Estimate the volume of material in a cylindrical shell with length 48 in., radius 4 in., and shell…

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Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…

A: Find the radius of the cylinder that produces the minimum surface area

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: A box with square base and open top has a volume of 1000 m³. Find the dimensions of the box which…

A: This question can be solved using the concept of maxima and minima.

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

A: Let the radius of the cylinder is = r and the radius of the sphere = R  Let the height of the…

Q: A closed cylinder of volume 600 cm3 is made using a metal sheet. Find the radius that will require…

A: Let the radius and the height of the cylinder be r and h. Then the volume of the cylinder will be:…

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Q: A cylindrical can is to be made to hold 2200 cubic inches of oil. Find the radius and height of the…

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Q: Determine the dimensions of the right circular cylinder, with the greatest volume, that can be…

A: Here we have to determine the dimensions of the right circular cylinder, with the greatest volume,…

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

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

A: Topic = Application of Derivative