# geometry

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how many gallons of water will a tank measuring 66 inches in diameter and 24 inches in height,hold?

• geometry -

Since the data are in inches, I assume the answer would be in Americal gallons that is equivalent to about 3.8 litres.(as opposed to the Imperial gallon, about 4.54 litres).

Vomume = πd²h/4
=π(66)²*24/4
=26136π in³

Since 1000 cubic inches equal 4.329 US gal(liq.),
the box will hold
26136π/1000*4.329 gal
approx. 355 gal.

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