Question

A cylindrical can is built to store a food. This can is constructed without a lid and must contain 100cm3 of volume. Find the radius and height of this cylinder so that the amount of material used in its manufacture is minimal.

Answer #1

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A cylindrical metal can is to have no lid. It is to have a
volume of 27? in^3 . What height minimizes the amount of metal
used?

A cylindrical can is to have volume 1500 cubic centimeters.
Determine the radius and the height which will minimize the amount
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Note that the surface area of a closed cylinder is
S=2πrh+2πr2 and the volume of a cylindrical can is
V=πr2h
radius =. cm
height = cm

A new junk food — PopKorn — is to be sold in large cylindrical
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rational exponents, and use pi to represent ?.

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A company is planning to manufacture cylindrical above-ground
swimming pools. When filled to the top, a pool must hold 100 cubic
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A cylinder shaped can needs to be constructed to hold 400 cubic
centimeters of soup. The material for the sides of the can costs
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square centimeter. Find the dimensions for the can that will
minimize production cost.
Helpful information:
h : height of can, r : radius of can
Volume of a cylinder: V=πr2^h
Area of...

a cylindrical can holds 250 ml of liquid. Find the dimensions of
the can (radius and height) that will minimize the amount of
material used (surface area). Please show your work. Thank you.

240 square cm of metal is available to make a cylindrical can,
closed on the top and bottom. The can-making process is so
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answers and approximate answers.
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Surface area of a cylinder: 2πr2 + 2πrh

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the amount of card box used (i.e. that of its total surface
area).

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