Question

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

Homework Answers

Answer #1

This question is the simple application of derivative.

Please see the solution

Thanks

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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.]
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 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 grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If...
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 498π ft3, determine the radius and height of the silo that requires the least amount of material to build. Hint: The volume of the silo is πr^2h + 2 3 πr^3, and the surface area (including the floor) is π(3r^2 + 2rh). (Round your answers to one decimal place.) r= ft h= ft
For full credit be sure to show all work and units. 1. A 20 foot ladder...
For full credit be sure to show all work and units. 1. A 20 foot ladder leans against a vertical wall. The bottom of the ladder slides away from the wall at 2 ft/sec. a. How fast is the top of the ladder sliding down the wall when the top of the ladder is 12 feet from the ground? b. Interpret the meaning of the sign. 2. The current speed record for weight loss is 487 pounds to 130 pounds...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary rivals? How will the acquisition of Reebok by Adidas impact the structure of the athletic shoe industry? Is this likely to be favorable or unfavorable for New Balance? 2- What issues does New Balance management need to address? 3-What recommendations would you make to New Balance Management? What does New Balance need to do to continue to be successful? Should management continue to invest...
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...