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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

how many feet is the diameter?

2. anonymous

6ft

3. anonymous

$V=\frac{4}{3}\pi r^3$ 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

Your answer would come out to cubic feet, which you would then have to convert to gallons.

5. anonymous

1 ft^3=7.48051948 US gallons

6. anonymous

thanks alot dude!

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