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Volume of frustum

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Problem

A table lamp is in the form of a frustum. The radii of its ends are start color #1fab54, 4, start text, c, m, end text, end color #1fab54 and start color #11accd, 12, start text, c, m, end text, end color #11accd.
The height of the lamp is start color #aa87ff, 15, start text, c, m, end text, end color #aa87ff.
What is the volume of the lamp?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
pi, start text, c, m, end text, cubed
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