Question

A cylindrical metal can is to have no lid. It is to have a volume of...

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?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A cylindrical can is built to store a food. This can is constructed without a lid...
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.
Design a cylindrical can (with a lid) to contain 5 liters (= 5000 cm3) of water,...
Design a cylindrical can (with a lid) to contain 5 liters (= 5000 cm3) of water, using the minimum amount of metal. What is the diameter and height?
A new junk food — PopKorn — is to be sold in large cylindrical metal cans...
A new junk food — PopKorn — is to be sold in large cylindrical metal cans with a removable plastic lid instead of a metal top. The metal side and bottom will be of uniform thickness, and the volume is fixed to be 64π in^3 . What base radius r and height h for the can will require the least amount of metal? Show work, and include an argument to show your values for r and h really give a...
A cylindrical can is to have volume 1500 cubic centimeters. Determine the radius and the height...
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
240 square cm of metal is available to make a cylindrical can, closed on the top...
240 square cm of metal is available to make a cylindrical can, closed on the top and bottom. The can-making process is so efficient that it can use all of the metal. What are the radius and height of the can with the largest possible volume? Give exact answers and approximate answers. Volume of a cylinder: V = πr2h Surface area of a cylinder: 2πr2 + 2πrh
Consider a cardboard box without a lid with dimensions x,yx,y and zz having volume 500cm3500cm3. Find...
Consider a cardboard box without a lid with dimensions x,yx,y and zz having volume 500cm3500cm3. Find x+y+zx+y+z that minimizes the amount of card box used (i.e. that of its total surface area).
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The...
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The metal in the dome costs 2.1 times as much as the concrete​ (per unit of surface​ area). If the volume of the silo is 600m^3 what are the dimensions of the silo​ (radius and height of the cylindrical​ tower) that minimize the cost of the​ materials? Assume the silo has no floor and no flat ceiling under the dome. What is the function of...
A cylindrical can open at the top is to have volume 24, 000π cm3 . The...
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 grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The...
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The metal in the dome costs 1.6 times as much as the concrete​ (per unit of surface​ area). If the volume of the silo is 550 m cubed​, what are the dimensions of the silo​ (radius and height of the cylindrical​ tower) that minimize the cost of the​ materials? Assume the silo has no floor and no flat ceiling under the dome.
The dimeter of the base and the height of a cylindrical can are measured, and the...
The dimeter of the base and the height of a cylindrical can are measured, and the measurement are known to have errors of at most 0.5cm. if the dimeter and height are taken to be 4cm and 6cm, respectively, estimate the maximum possible error in a- the volume V of the cylindrical. b- the surface area S of the cylindrical.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT