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MMLU-Pro / 298 / A cylindrical container is to be produced whose capacity is 10 cubic feet. The…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A cylindrical container is to be produced whose capacity is 10 cubic feet. The top and bottom of the container are to be made of a material that costs 2persquarefoot,whilethesideofthecontainerismadeofmaterialcosting2 per square foot, while the side of the container is made of material costing 1.50 per square foot. Find the dimensions that will minimize the total cost of the container.
Plain-text mathematical notation (without MathML)
A cylindrical container is to be produced whose capacity is 10 cubic feet. The top and bottom of the container are to be made of a material that costs 2persquarefoot,whilethesideofthecontainerismadeofmaterialcosting1.50 per square foot. Find the dimensions that will minimize the total cost of the container.
Original LaTeX notation
A cylindrical container is to be produced whose capacity is 10 cubic feet. The top and bottom of the container are to be made of a material that costs $2 per square foot, while the side of the container is made of material costing $1.50 per square foot. Find the dimensions that will minimize the total cost of the container.

category

business

options

  1. r = 1.061 feet, h = 2.828 feet
  2. r = 2.5 feet, h = 2.04 feet
  3. r = 1.2 feet, h = 5.236 feet
  4. r = 2.2 feet, h = 2.1 feet
  5. r = 3 feet, h = 1.178 feet
  6. r = 2.828 feet, h = 1.061 feet
  7. r = 2 feet, h = 3 feet
  8. r = 1.5 feet, h = 2.5 feet
  9. r = 1 feet, h = 10 feet
  10. r = 1.8 feet, h = 1.909 feet

src

stemez-Business

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Source and history

upstream_id / Original problem ID
298
task_id
9837fc55-d824-504c-aedb-e7d03c4861c7
task_key
default--test--298
task_revision_id
1
config / split
default / test

Official source

initial import