cylinder

62 - 63 Maxima and minima: cylinder inscribed in a cone and cone inscribed in a sphere

DiffCalc 019 Cylinder inscribed in a cone

Problem 62

Inscribe a circular cylinder of maximum convex surface area in a given circular cone.

 

53 - 55 Solved Problems in Maxima and Minima

DiffCalc 016 Largest rectangle inscribed in a circular quadrant

Problem 53
Cut the largest possible rectangle from a circular quadrant, as shown in Fig. 40.

 

38 - 40 Solved problems in maxima and minima

DiffCalc 010 Cylindrical glass jar with plastic top

Problem 38

A cylindrical glass jar has a plastic top. If the plastic is half as expensive as glass, per unit area, find the most economical proportion of the jar.

 

29 - 31 Solved problems in maxima and minima

DiffCalc 007 Lenght and girth of a container with square cross-section

Problem 29

The sum of the length and girth of a container of square cross section is a inches. Find the maximum volume.

 

25 - 27 Solved problems in maxima and minima

DiffCalc 005 Cylindrical Quart Can

Problem 25

Find the most economical proportions of a quart can.

 

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