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MMLU-Pro / 8630 / A CAT scan produces equally spaced cross-sectional views of a human organ that…

Problem

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

question

A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver shows cross-sections spaced $1.5 \mathrm{~cm}$ apart. The liver is $15 \mathrm{~cm}$ long and the cross-sectional areas, in square centimeters, are 0,18,58,79,94,106,117,128,630,18,58,79,94,106,117,128,63, 39 , and 0 . Use the Midpoint Rule to estimate the volume of the liver.
Plain-text mathematical notation (without MathML)
A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver shows cross-sections spaced $1.5 \mathrm{~cm}$ apart. The liver is $15 \mathrm{~cm}$ long and the cross-sectional areas, in square centimeters, are 0,18,58,79,94,106,117,128,63, 39 , and 0 . Use the Midpoint Rule to estimate the volume of the liver.
Original LaTeX notation
A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver shows cross-sections spaced $1.5 \mathrm{~cm}$ apart. The liver is $15 \mathrm{~cm}$ long and the cross-sectional areas, in square centimeters, are $0,18,58,79,94,106,117,128,63$, 39 , and 0 . Use the Midpoint Rule to estimate the volume of the liver.

category

math

options

  1. 1250 $\mathrm{cm}^3$
  2. 1010 $\mathrm{cm}^3$
  3. 950 $\mathrm{cm}^3$
  4. 890 $\mathrm{cm}^3$
  5. 980 $\mathrm{cm}^3$
  6. 1200 $\mathrm{cm}^3$
  7. 1150 $\mathrm{cm}^3$
  8. 1300 $\mathrm{cm}^3$
  9. 1110 $\mathrm{cm}^3$
  10. 1050 $\mathrm{cm}^3$

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
8630
task_id
53174556-af0c-59e9-abdc-b6f3e7f243ea
task_key
default--test--8630
task_revision_id
1
config / split
default / test

Official source

initial import