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anonymous

  • 4 years ago

A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of feet, how many gallons of water can it hold?

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  1. anonymous
    • 4 years ago
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    how many feet is the diameter?

  2. anonymous
    • 4 years ago
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    6ft

  3. anonymous
    • 4 years ago
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    \[V=\frac{4}{3}\pi r^3\] Half of a sphere would be \[V=\frac{2}{3}\pi r^3\] The radius is half of the diameter, 3 ft. You can plug it in a solve.

  4. anonymous
    • 4 years ago
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    Your answer would come out to cubic feet, which you would then have to convert to gallons.

  5. anonymous
    • 4 years ago
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    1 ft^3=7.48051948 US gallons

  6. anonymous
    • 4 years ago
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    thanks alot dude!

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