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If circular basin holds 147000 gallons if this basin is 10 feet deep what is the diameter.?
Wiki User
∙ 14y ago
The formula for the volume of a cylinder ("circular basin") is V=[pi]*r2*h, where r is the radius and h is the height ("depth") of the cylinder.
Since the volume is provided in gallons and the diameter will be expressed in feet, it is first necessary to convert the gallon amount to cubic feet. There are about 7.481 gallons in a cubic foot, so the conversion is done by dividing 147,000 by 7.481, yielding an answer of 19,649.779 cubic feet.
The formula may now be expressed as: 19,649.779 cu. ft. = 3.141*r2*10 ft.
Solving for r yields a value of approximately 25.012 ft.
Diameter is twice the radius, so approximately 50 ft.
Check the answer:
V=3.141*25.012 ft.2*10 ft.
V=19,650.1 cu. ft. * 7.481 = 147,002 gallons (allowing for rounding)
Wiki User
∙ 14y ago
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