anonymous
  • anonymous
Two similar pipes are shown. The small pipe has a radius of 10 feet and a height of 22 feet while the large pipe has a height of 33 feet. What is the volume of the large pipe in terms of π? Answer 2,200π ft3 2,475π ft3 4,500π ft3 7,425π ft3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Directrix
  • Directrix
The volume of the smaller pipe is: pi * 10*10 * 22 = 2200 pi. The larger pipe is similar to the smaller one and the scale factor from small to large is 22 to 33 which simplifies to 2 to 3 or 2/3. If two solids are similar the cube of the scale factor is the ratio of the volumes. (2/3) ^3 = 2200 pi / V where V is the volume of the larger solid 8/27 = 2200 pi / V V = (27 * 2 200 pi) / 8 = 7 425 pi --> ANS

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