geometry

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The Giant Ocean Tank in Boston's New England Aquarium is a cylinder that is 23 feet high and has a volume of 200,000 gallons, (1 gallon = 0.134 ft^3). Find the diameter of the tank.

• geometry -

V=200,000gal * 0.134Ft^3/gal=26800Ft^3.

V = pi*r^2 * h = 26,800 Ft^3.
3.14r^2 * 23 = 26800.
72.22r^2 = 26800.
r^2 = 371.1.
r = 19.26 Ft.
D = 2r = 2 * 19.26 = 38.5 Ft.

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