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MMLU-Pro / 8323 / A swimming pool is circular with a 40−ft diameter. The depth is…

Problem

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

question

A swimming pool is circular with a 40−ft40-\mathrm{ft} diameter. The depth is constant along east-west lines and increases linearly from 2ft2 \mathrm{ft} at the south end to 7ft7 \mathrm{ft} at the north end. Find the volume of water in the pool.
Plain-text mathematical notation (without MathML)
A swimming pool is circular with a 40−ft diameter. The depth is constant along east-west lines and increases linearly from 2ft at the south end to 7ft at the north end. Find the volume of water in the pool.
Original LaTeX notation
A swimming pool is circular with a $40-\mathrm{ft}$ diameter. The depth is constant along east-west lines and increases linearly from $2 \mathrm{ft}$ at the south end to $7 \mathrm{ft}$ at the north end. Find the volume of water in the pool.

category

math

options

  1. $1800\pi$ $\mathrm{ft}^3$
  2. $1400\pi$ $\mathrm{ft}^3$
  3. $2000\pi$ $\mathrm{ft}^3$
  4. $2500\pi$ $\mathrm{ft}^3$
  5. $1200\pi$ $\mathrm{ft}^3$
  6. $1600\pi$ $\mathrm{ft}^3$
  7. $2200\pi$ $\mathrm{ft}^3$
  8. $2100\pi$ $\mathrm{ft}^3$
  9. $1700\pi$ $\mathrm{ft}^3$
  10. $2300\pi$ $\mathrm{ft}^3$

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
8323
task_id
517c4104-b914-58e6-a5eb-932215d9bc28
task_key
default--test--8323
task_revision_id
1
config / split
default / test

Official source

initial import