First, as you want the volume in litres, convert the units of measurements to metric.
8ft (I'm presuming that's width, ie: diameter) = (8 x 12) x 25.41mm = 2439.36mm diameter
2ft deep = (2 x 12) x 25.41mm = 609.84mm deep.
Calculate the volume (capacity) of the pool by multiplying the area of the pool by its depth. The area is:
pi x ((d/2)^2)
= 3.14 x ((2,439.36/2)^2)
= 3.14 x 1,487,619.3
= 4,673,493.9 sqmm
So the capacity of the pool is:
area x depth
= 4,673,493.9 x 609.8
= 2,849,896,580.22 mm cubed.
1 litre is equivalent to 1,000,000mm cubed. So to convert that into litres, divide that figure by 1,000,000.
= 2,849,896,580.22 / 1,000,000
= 2,849.9 litres.
2006-07-11 01:13:26
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answer #1
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answered by k² 6
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If the diameter is 8ft and the depth is 2ft, first convert these to centimetres and find the area of the circle multiplied by the depth in cubic centimetres. 1 litre = 1000 cubic centimetres, so divide by 1000 to have the answer in litres. 8 feet = 243.84 centimeters the radius is half that = 121.92 cm 2 feet = 60.96 cm pi * (121.92^2) * 60.96 = 2 846 719.91 So the answer is 2846.71991 litres or approximately 2850 litres. If you don't fill it to the brim, then allow, say 2500 litres.
2016-03-27 00:54:34
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answer #2
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answered by Anonymous
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To start, the basic formula for volume is base times height. For a cylinder, the base is a circle, so the area is pi times radius squared. In your case (assuming an 8 ft pool is 8 ft across the middle) pi x 4 squared (radius being 1/2 the diameter of 8) x 2 ft high will give you the volume in cubic feet. The calculation is 100.52 cubic feet. You will need a metric converter to get liters of 2846.41.
2006-07-11 01:14:14
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answer #3
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answered by marylandlaw_mdlawyer 1
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8ft diameter or circumference? It makes a difference?
2006-07-11 01:03:49
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answer #4
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answered by bexik 2
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8'dia= 4'radi=50.3 sq ft by 2' deep =100.6 cubic ft=about 2848 liters
2006-07-11 01:06:59
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answer #5
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answered by paulofhouston 6
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check out factmonster.com
2006-07-11 01:11:33
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answer #6
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answered by Anonymous
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