Volume of a column = Pi x radius squared x height - these values in feet would give a result in cubic feet. Pi = 3.14 A 16 ft diameter pool has a radius of 8 ft your pool is 4 ft high So the volume of a 16 ft pool would be: 3.14 x 64 x 4 = 803.84 cubic feet 1 gallon = .13368 cubic feet 803.84(cubic feet) / .13368(cubic ft per gallon) = 6013.1657 gallons
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To calculate the volume of your pool, multiply the length times the width times the depth. If your dimensions are all in feet, your answer will be in cubic feet. There are approximately 7.48 gallons in one cubic foot of water, so multiply the number of cubic feet by 7.48 for the number of gallons in your pool. If this is your homework, do the math. If you really need to know for your own pool, don't forget that pools usually have scuppers and aren't filled to the brim, so you will have to subtract 4-6 inches from the depth for a more accurate answer. Hope that helps.
Round pool 16' diameter = 8' radius area = 8 X 8 X 3.14 = 201 square feet. Water is 8 gallons per cu ft so 201 sq foot has 8 gallons for each foot of depth. My 16' round pool is about 3.5 ft deep and contains about 5600 gallons. That water weighs 45,000 lb.
Using the volume calculator at http://focuspools.com/poolcare/volume.asp your pool has 767 gallons.
A round pool with a 16-foot diameter and a 4-foot depth has a maximum capacity of about 6,016 gallons of water.
You would use the following formula: 16 (Dia.ft.) X 16 (Dia.ft.) X 4 (average depth ft.) X 5.9(multiplication factor) = 6041.6 gallons of water