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MMLU-Pro / 8726 / Compute the are of that part of the helicoid z = arctan(y/x) which lies in the…

Problem

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

question

Compute the are of that part of the helicoid z = arctan(y/x) which lies in the first octant between the cylinder x2+y2=12x^2+y^2 = 1^2 and x2+y2=22x^2+y^2 = 2^2.
Plain-text mathematical notation (without MathML)
Compute the are of that part of the helicoid z = arctan(y/x) which lies in the first octant between the cylinder x²+y²=1² and x²+y²=2².
Original LaTeX notation
Compute the are of that part of the helicoid z = arctan(y/x) which lies in the first octant between the cylinder $x^2+y^2 = 1^2$ and $x^2+y^2 = 2^2$.

category

math

options

  1. 3.764
  2. 2.718
  3. 2.843
  4. 1.732
  5. 4.000
  6. 3.576
  7. 2.456
  8. 1.567
  9. 3.142
  10. 2.000

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8726
task_id
2dfb8792-8296-5547-bf14-f63a2074b3fe
task_key
default--test--8726
task_revision_id
1
config / split
default / test

Official source

initial import