The volume of each cylindrical tank can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
For each tank:
radius (r) = 16 feet
depth (h) = 22 feet
Using the formula, the volume of each tank is:
V = π(16^2)(22) = 14080π cubic feet
To convert this to gallons, we need to multiply by the conversion factor of 7.5 gallons per cubic foot:
Volume in gallons = 14080π * 7.5 = 105600π gallons
Using the approximation π ≈ 3.14, we can calculate the approximate volume in gallons for each tank:
Volume in gallons ≈ 105600 * 3.14 ≈ 331824 gallons
Since there are three tanks, the total volume of water that can be treated at the plant at any one time is approximately:
3 * 331824 gallons = 995472 gallons
Therefore, approximately 995,472 gallons of water can be treated at the plant at any one time.
A water treatment plant is built with three cylindrical tanks to contain the water for a town. Each tank has a radius of 16 feet and a depth of 22 feet.
If there are about 7.5 gallons in a cubic foot of water, approximately how many gallons of water can be treated at the plant at any one time?
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1 answer