Question

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 = π r 2 h V = π r 2 h Area of the sides: A = 2 π r h A = 2 π r h Area of the top/bottom: A = π r 2 A = π r 2

a) To minimize the cost of the package:

b) Radius: cm

c) Height: cm

d) Minimum cost: cents

Homework Answers

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
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...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350 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 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost. To minimize the cost of the package: Radius:   Height: Minimum cost:
A microwaveable cup-of-soup package needs to be constructed in the shape of a cylinder to hold...
A microwaveable cup-of-soup package needs to be constructed in the shape of a cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
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...
Suppose the material for the top and bottom costs b cents per square centimeter and the...
Suppose the material for the top and bottom costs b cents per square centimeter and the material for the sides costs 0.1 cents per square centimeter. You want to make a can with a volume of k. What values for the height and radius will minimize the cost? (Your answer will have a k and a b in it.)
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base...
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base of the box is made from a material costing 8 cents/in2. The front of the box must be decorated, and will cost 12 cents/in2. The remainder of the sides will cost 2 cents/in2. Find the dimensions that will minimize the cost of constructing this box. Front width: _______ in. Depth: ________ in. Height: ________ in.
A pencil cup with a capacity of 48 in^3 is to be constructed in the shape...
A pencil cup with a capacity of 48 in^3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 40¢/in^2 and the material for the base costs 60¢/in.^2, what should the dimensions of the cup be to minimize the construction cost? A pencil cup is in the shape of a rectangular box with a square base and an open top. height ____ in length...
A circular cylinder with a radius R of 1 cm and a height H of 2...
A circular cylinder with a radius R of 1 cm and a height H of 2 cm carries a charge density of pv = h R^2 uC/cm^3 (h is a point on the z-axis). The cylinder is then placed on the xy plane with its axis the same as the z-axis. Find the electric field intensity E and and the electric potential V on point A on z-axis 2 cm from the top of the cylinder.
An energy drink container in the shape of a right circular cylinder must have a volume...
An energy drink container in the shape of a right circular cylinder must have a volume of 19 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches). The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side. Find the dimensions that will minimize the cost. (Round your answers to two decimal places.) r = h =
10. A circular cylinder with a radius R of 1 cm and a height H of...
10. A circular cylinder with a radius R of 1 cm and a height H of 2 cm carries a charge density of ρV = H r2 sin φ µC/cm3 (r is a point on the z-axis, φ is an azimuthal angle). The cylinder is then placed on the xy plane with its axis the same as the z-axis. Find the electric field intensity E and the electric potential V on point A on z-axis 2 cm from the top...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT