Question

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

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 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.
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 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 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,...
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 cylindrical can holds 250 ml of liquid. Find the dimensions of the can (radius and...
a cylindrical can holds 250 ml of liquid. Find the dimensions of the can (radius and height) that will minimize the amount of material used (surface area). Please show your work. Thank you.
The dimeter of the base and the height of a cylindrical can are measured, and the...
The dimeter of the base and the height of a cylindrical can are measured, and the measurement are known to have errors of at most 0.5cm. if the dimeter and height are taken to be 4cm and 6cm, respectively, estimate the maximum possible error in a- the volume V of the cylindrical. b- the surface area S of the cylindrical.
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 cylindrical can is built to store a food. This can is constructed without a lid...
A cylindrical can is built to store a food. This can is constructed without a lid and must contain 100cm3 of volume. Find the radius and height of this cylinder so that the amount of material used in its manufacture is minimal.
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 516π 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 πr2h + A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 516π ft3, determine the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT