Question

There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,500 liquid gallons and has a radius of 3.4 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth. 200.5 feet 59.0 feet 17.3 feet 5.5 feet

Answer 1

(d) 5.5 feet

Explanation:

You want the height of a 1500 gallon cylindrical tank with a radius of 3.4 ft.

Volume

The volume of the tank is given by ...

V = πr²h

Height

The height can be found from the volume equation as ...

h = V/(πr²)

The volume in cubic feet is (1500 gal)/(7.48 gal/ft³) = (1500/7.48) ft³.

This means the height is ...

h = (1500/7.48)/(3.14·3.4²) ≈ 5.5 . . . . feet

The approximate height of the water tank is 5.5 feet, choice D.

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