cylinder

03 - Heaviest cylinder that can be made from a shot

MaxMin 02 - Cylinder inscribed in a sphere

Problem 3

Find the weight of the heaviest circular cylinder can be cut from a 16-lb shot.

 

02 - Cylinder of maximum convex area inscribed in a sphere

MaxMin 02 - Cylinder inscribed in a sphere

Problem 02

A cylinder is inscribed in a given sphere. Find the shape of the cylinder if its convex surface area is a maximum.

 

The Right Circular Cylinder

solid 005 Right Circular Cylinder Exploded

A right circular cylinder is a cylinder whose base is a circle and whose elements are perpendicular to its base.

 

The Cylinder

solid 004 Oblique and Right Cylinders

Cylinder is a solid bounded by a closed cylindrical surface and two parallel planes.

 

Solids for which Volume = Area of base times Altitude

solid 001 Prism and Cylinder

Solids in which V = Ab h

This is a group of solids in which the volume is equal to the product of the area of the base and the altitude. Two types of solids belong to this group namely, prisms and cylinders.

 

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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