A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200 cubic centimeters of so
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200 cubic centimeters of so
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200 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 0.08 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 = arah = Area of the sides: A = 2arh Area of the top/bottom: A = 7p2 To minimize the cost of the package: Radius: cm con Height: cm Minimum cost: cents
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!