Question

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.

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

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.

A container in the shape of a right circular cone can hold up to
2 Liters of water. Find the dimensions that will minimize the cost
of the metal to manufacture the container. Show your work.

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...

A cylinder shaped can needs to be constructed to hold 400 cubic
centimeters of soup. The material for the sides of the can costs
0.04 cents per square centimeter. The material for the top and
bottom of the can need to be thicker, and costs 0.05 cents per
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...

The company is expanding its production line to make metal cans
out of different materials. These cans still hold 100 mL, but for
these cans, the material for the base and top costs 7 ¢/cm2 while
the material for the sides costs 2 ¢/cm2 . As before, find the
dimensions of the container that minimize the cost of each
container. We want to prove to your boss that these dimensions
actually do minimize the cost. Accordingly, you include an argument...

A company is designing an aquarium in the shape of a vertical
cylinder for a client. It will have a round base made of slate, the
curved sides are made of plexiglass, and the round top is glass.
The tank must hold 24 cubic feet (about 180 gallons) of water.
Plexiglass costs $8 per square foot, slate costs $6 per square
foot, and glass costs $4 per square foot. Find the dimensions
(rounded to 2 decimal places) the company should...

Goop Inc needs to order a raw
material to make a special polymer. The demand for the polymer is
forecasted to be normally distributed with a mean of 200 gallons
and a standard deviation of 100 gallons. Goop sells the polymer for
$26 per gallon. Goop purchases raw material for $10 per gallon and
Goop must spend $6 per gallon to dispose of all unused raw material
due to government regulations. (One gallon of raw material yields
one gallon of...

A rectangular recreational field needs to be built outside of a
gymnasium. Three walls of fencing are needed and the fourth wall is
to be a wall of the gymnasium itself. The ideal area for such a
field is exactly 810000ft2. In order to minimize costs, it is
necessary to construct the fencing using the least amount of
material possible. Assuming that the material used in the fencing
costs $45/ft, what is the least amount of money needed to build...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 20 minutes ago

asked 23 minutes ago

asked 23 minutes ago

asked 29 minutes ago

asked 34 minutes ago

asked 35 minutes ago

asked 45 minutes ago

asked 51 minutes ago

asked 52 minutes ago

asked 52 minutes ago

asked 1 hour ago