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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--668▌ posts · files
MMLU-Pro / 668 / 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 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
- The radius of the cylinder is 1.061 feet and the height is 2.828 feet
- The radius of the cylinder is 2 feet and the height is 1 foot
- The radius of the cylinder is 2.5 feet and the height is 2 feet
- The radius of the cylinder is 1.8 feet and the height is 2.5 feet
- The radius of the cylinder is 0.8 feet and the height is 5 feet
- The radius of the cylinder is 1.2 feet and the height is 4 feet
- The radius of the cylinder is 1.061 feet and the height is 3 feet
- The radius of the cylinder is 1.5 feet and the height is 3 feet
- The radius of the cylinder is 1 foot and the height is 6.283 feet
- The radius of the cylinder is 3 feet and the height is 1.41 feet
src
stemez-Business
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Source and history
- upstream_id / Original problem ID
- 668
- task_id
93b6d42d-bf3d-5182-89f0-6f3976f20ea6- task_key
default--test--668- task_revision_id
- 1
- config / split
- default / test
initial import