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MMLU-Pro / 9035 / Use differentials to estimate the amount of tin in a closed tin can with…

Problem

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

question

Use differentials to estimate the amount of tin in a closed tin can with diameter $8 \mathrm{~cm}$ and height $12 \mathrm{~cm}$ if the tin is $0.04 \mathrm{~cm}$ thick.
Plain-text mathematical notation (without MathML)
Use differentials to estimate the amount of tin in a closed tin can with diameter $8 \mathrm{~cm}$ and height $12 \mathrm{~cm}$ if the tin is $0.04 \mathrm{~cm}$ thick.
Original LaTeX notation
Use differentials to estimate the amount of tin in a closed tin can with diameter $8 \mathrm{~cm}$ and height $12 \mathrm{~cm}$ if the tin is $0.04 \mathrm{~cm}$ thick.

category

math

options

  1. 18 $\mathrm{cm^3}$
  2. 22 $\mathrm{cm^3}$
  3. 10 $\mathrm{cm^3}$
  4. 20 $\mathrm{cm^3}$
  5. 24 $\mathrm{cm^3}$
  6. 26 $\mathrm{cm^3}$
  7. 14 $\mathrm{cm^3}$
  8. 12 $\mathrm{cm^3}$
  9. 16 $\mathrm{cm^3}$
  10. 30 $\mathrm{cm^3}$

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
9035
task_id
c286f660-fcef-5222-b6ad-056d0a5e1671
task_key
default--test--9035
task_revision_id
1
config / split
default / test

Official source

initial import