sphere

66 - 68 Maxima and minima: Pyramid inscribed in a sphere and Indian tepee

DiffCalc 020 Square pyramid inscribed in a sphere

Problem 66

Find the largest right pyramid with a square base that can be inscribed in a sphere of radius a.

 

64 - 65 Maxima and minima: cone inscribed in a sphere and cone circumscribed about a sphere

Problem 64

A sphere is cut to the shape of a circular cone. How much of the material can be saved? (See Problem 63)

 

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.

 

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.

 

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