Question

An open cylindrical trashcan is to hold 12 cubic feet of material. What should be its...

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.]

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Please comment if you have any doubt.

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 cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The...
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...
A tank cylinder hold 54 pi cubic feet of liquid. Minimize or use the least amount...
A tank cylinder hold 54 pi cubic feet of liquid. Minimize or use the least amount of possible material to build it. What dimensions should I use for the tank Given: V = pir^2h Surface Area = 2 pirh + 2 pi r^2
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.
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 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 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
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,...
PROBLEM: A cylindrical can is to be made to hold 50 cm3 of oil. Determine the...
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?
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.07 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h : height of cylinder, r : radius of cylinder Volume of a cylinder: V...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.07 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h : height of cylinder, r : radius of cylinder Volume of a cylinder: V=πr2hV=πr2h...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT