Question

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, the area of its base isπr2, and the area of the curved side is 2πrh.)

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
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
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...
Denali Dumpsters need to manufacture a dumpster with an open top and a total volume of...
Denali Dumpsters need to manufacture a dumpster with an open top and a total volume of 350 cubic feet. The material for the bottom costs $1.25 per square foot and the material for the sides cost $0.75 per square foot. a) What dimensions will minimize the cost? b.) What is the minimum cost?
A company is designing an aquarium in the shape of a vertical cylinder for a client....
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...
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...
Activity 2: Applications of the Derivatives To make a phrase/words, solve the 18 application of derivatives...
Activity 2: Applications of the Derivatives To make a phrase/words, solve the 18 application of derivatives below. Then replace each numbered blank with the letter corresponding to the answer for that problem. Show all solutions on the answers given below. "__ __ __    __ __ __ __ __ __ ,    __ __ __    __ __    __ __ __ __ ."                                                                                                                                  1-2. A certain calculus student hit Mr. Pleacher in the head with a snowball. If the snowball is melting...
Mercer Asbestos Removal Company removes potentially toxic asbestos insulation and related products from buildings. There has...
Mercer Asbestos Removal Company removes potentially toxic asbestos insulation and related products from buildings. There has been a long-simmering dispute between the company’s estimator and the work supervisors. The on-site supervisors claim that the estimators do not adequately distinguish between routine work, such as removal of asbestos insulation around heating pipes in older homes, and nonroutine work, such as removing asbestos-contaminated ceiling plaster in industrial buildings. The on-site supervisors believe that nonroutine work is far more expensive than routine work...
Delta airlines case study Global strategy. Describe the current global strategy and provide evidence about how...
Delta airlines case study Global strategy. Describe the current global strategy and provide evidence about how the firms resources incompetencies support the given pressures regarding costs and local responsiveness. Describe entry modes have they usually used, and whether they are appropriate for the given strategy. Any key issues in their global strategy? casestudy: Atlanta, June 17, 2014. Sea of Delta employees and their families swarmed between food trucks, amusement park booths, and entertainment venues that were scattered throughout what would...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT