Question

PROBLEM: A cylindrical can is to be made to hold 50 cm3 of oil. Determine the dimensions of the can that will minimize its surface area. What is the minimum surface area?

Answer #1

A cylindrical can, open at the top, is to hold 220 cm3 of
liquid. Find the height and radius that minimize the amount of
material needed to manufacture the can. Enter your answer with
rational exponents, and use pi to represent ?.

A cylindrical can, open at the top, is to hold 830 cm3 of
liquid. Find the height and radius that minimize the amount of
material needed to manufacture the can. Enter your answer with
rational exponents, and use pi to represent π

An open cylindrical trashcan is to hold 12 cubic feet of
material. What should be its dimensions if the cost of material
used is to be a minimum? [Surface Area, S = πr^2 + 2πrℎ where r =
radius and h = height.]

A company needs to make a cylindrical can that can hold
precisely 0.7 liters of liquid. If the entire can is to be made out
of the same material, find the dimensions of the can that will
minimize the cost. Round your answer to the nearest two decimal
places.

A cylindrical can open at the top is to have volume 24, 000π cm3
. The material for the base of the can costs three times as much as
the material for the rest of the can. What are the dimensions of
the can of minimum cost?

A manufacturer makes a cylindrical can with a volume of 500
cubic centimeters. What dimensions (radius and height) will
minimize the material needed to produce each can, that is, minimize
the surface area? Explain and show all steps business calculus.

A cylindrical can is to have volume 1500 cubic centimeters.
Determine the radius and the height which will minimize the amount
of material to be used.
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

What are the dimensions of the lightest open-top right circular
cylindrical can that will hold a volume of
216 cm^3.
The radius of the can is____ cm and its height is ____cm.

A raft made of wood of a density of 0.45 g/cm3 has
dimensions of 450 cm by 300 cm by 35 cm . What is the maximum mass
of travelers and baggage this raft can hold on freshwater?

The CEO of the soda company Pepsi calls and tells you that the
company needs to make a cylindrical that can hold 1.5 liters of
soda. Determine the dimensions of the can that will minimize the
amount of material used in its construction. You may want to know
that the volume of a cylinder is and the surface area
of a cylinder is
Draw a picture or make a table to represent the
situation.
Assign variables.
Use the given...

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