Question

A company wants to design an open top cylindrical bin with volume of 250 cm3. What...

A company wants to design an open top cylindrical bin with volume of 250 cm3. What dimensions, which are the radius r and height h, will minimize the total surface area of the bin? Round to one decimal place. (hint: consider bin disassembled for area of the side) Geometry formulas: Area of a circle is ? = ??2, Volume of a cylinder is ? = ??2h, and circumference of a circle is ? = 2??. Use ? = 3.14

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, open at the top, is to hold 220 cm3 of liquid. Find the...
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...
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 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 box with a square base and open top must have a volume of 202612 cm3....
A box with a square base and open top must have a volume of 202612 cm3. We wish to find the dimensions of the box that minimize the amount of material used. (Round your answer to the nearest tenthousandths if necessary.) Length = Width = Height =
A box with a square base and open top must have a volume of 296352 cm3....
A box with a square base and open top must have a volume of 296352 cm3. We wish to find the dimensions of the box that minimize the amount of material used. (Round your answer to the nearest tenthousandths if necessary.) Length = Width = Height =
What are the dimensions of the lightest​ open-top right circular cylindrical can that will hold a...
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 cylindrical can holds 250 ml of liquid. Find the dimensions of the can (radius and...
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 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
A manufacturer makes a cylindrical can with a volume of 500 cubic centimeters. What dimensions (radius...
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 company is planning to manufacture cylindrical above-ground swimming pools. When filled to the top, a...
A company is planning to manufacture cylindrical above-ground swimming pools. When filled to the top, a pool must hold 100 cubic feet of water. The material used for the side of a pool costs $3 per square foot and the mate-rial used for the bottom of a pool costs $2 per square foot.(There is no top.) What is the radius of the pool which minimizes the manufacturing cost? (Hint: The volume of a cylinder of height hand radius r isV=πr2h,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT