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MMLU-Pro / 7874 / Find the volume of the described solid S. The base of S is an elliptical…

Problem

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

question

Find the volume of the described solid SS. The base of SS is an elliptical region with boundary curve 9x2+4y2=369 x^2+4 y^2=36. Cross-sections perpendicular to the xx-axis are isosceles right triangles with hypotenuse in the base.
Plain-text mathematical notation (without MathML)
Find the volume of the described solid S. The base of S is an elliptical region with boundary curve 9x²+4y²=36. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.
Original LaTeX notation
Find the volume of the described solid $S$. The base of $S$ is an elliptical region with boundary curve $9 x^2+4 y^2=36$. Cross-sections perpendicular to the $x$-axis are isosceles right triangles with hypotenuse in the base.

category

math

options

  1. 48
  2. 42
  3. 18
  4. 24
  5. 30
  6. 54
  7. 12
  8. 60
  9. 72
  10. 36

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
7874
task_id
84b667c6-2952-527e-88f9-becdfde96d85
task_key
default--test--7874
task_revision_id
1
config / split
default / test

Official source

initial import