math calc!

find the volume of solid bound by planes x=0 y=0 z=0 and x+y+z=7

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asked by college
  1. under tripod
    area of base = 49/2
    find area of section at constant z
    x = y = 7-z
    area = xy/2 = (7-z)^2/2
    integrate area dz from 0 to 7
    (1/2) integral[ 49 -14z + z^2]dz from 0 to 7

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    posted by Damon

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