how many litres of water does a 15ft circular pool hold please?

Answer 1

1 square meter 10cm deep would contain 100 litres.

A circular pool 15ft across its diameter would have a floor area of 16.409 square meters. So for every 10cm of water the volume would be 1,640.9 litres.

Half a meter deep, the pool would contain 8,204.5 litres.

A couple of handy things to remember about water and the metric system is that 10cmx10cmx10cm of water is 1 litre which weighs exactly 1 kilogram (at sea level)

Answer 2

I'm assuming it's 15 feet diameter.

You also need to know the depth of the pool.

To get the volume (or capacity) first convert the units to metric, then multiply the area of the pool by its depth.

15 is 15x12 inches = 180 inches
= 180 x 25.41mm = 4,573.8mm

The area of a 15ft diameter round pool is therefore:

pi x r^2
= 3.14 x (4,573.8/2)^2
= 3.14 x 2,286.9^2
= 3.14 x 5,229,911.61
= 16,430,251.9 sq mm

Multiply that by the depth of the pool in millimeters and you have the volume in millimeter cubed.

1 litre is equivalent to 1,000,000 mm cubed, so to convert your volume, divide it by 1,000,000.

For instance, if the pool is 2ft deep:

(2 x 12inches) x 25.41mm = 609.8mm deep,
Volume = 16,430,251.9 sq mm x 609.8mm depth
= 10,019,824,818.7 mm cubed
= 10,019,824,818.7 /1,000,000 litres
= 10,019.8 litres.

Answer 3

HOW DEEP??? If you assume a 3ft depth then the pool will hold approx 3000 litres. Add 1000 litres per foot of depth.

Answer 4

Hi Fiona, welcome to Yahoo Answers.

There are 1000 litres in a cubic metre, so you need to work out the volume in cubic metres.
to change 15 ft to metres, multiply by 0.3048.
15 x 0.3048 = 4.572m

The volume of a cylinder is pi x the square of the radius x the depth.
Assuming your 4.572m to be the diameter, the radius will be half that, i.e. 2.286m, and the square of the radius will be 5.226m2.
The surface area of the pool is therefore 5.226m2 x pi (3.142), i.e. 16.417 m2.

Just multiply the 16.417 m2 by the depth in metres, to get the volume of water in cubic metres, and multiply the answer by 1000 to get litres.

For example, if the water is 1.2m deep, the volume will be 16.417 x 1.2 = 19.701m3 = 19701 litres.

If the bottom of the pool is not level, then the sums get harder.


p.s. (metres are for measuring, feet are for paddling)

Answer 5

Need more dimensions, ie height of sides

Will work formula using one as a sub for hieght, you should be able to do the rest.

Formula is

Volume of a cylinder = Pi r2 h

Pi=3.14
r=radius = 1/2 Diameter = 7.5ft
h=height=1ft

Answer in cubic feet.

3.14x(7.5x7.5)x1=

3.14x56.25x1=

176.625 cubic feet

1 cubic foot = 28.316 liters

therefore

if your pool was only 1 foot high you would need

176.625x28.316 = 5001.3135 say 5000 litres to fill.

Simply mutiply by hieght (in Feet)

eg, 2.5 feet x 5000 litres = 12,500 litres.

Answer 6

Approximately 165 litres per 1 cm depth.

Answer 7

assume they meant 15ft across, these usually have a depth of 91 cm so 3 feet (rounded up)

so possibly 23014 litres

Answer 8

Is 15ft the diameter or the circumference?
How deep is the pool?
It doesn't help that you're mixing metric (litres) and imperial (feet)

Answer 9

15ft diameter or radius?

Assuming 15 ft is the diameter, then radius = 7.5 feet, or 2.286 meters.

Area formed by the circle = (pi)x(^2) = (3.1415) x (2.286^2) = 16.414 square meters.

Vol = (area of circle) x (depth). So for every depth of 1 meter = 16.414 cubic meters of water, or 16,414 liters of water.

Ex, 2 meters depth = 32,828 liters, 3 meters depth = 49,242 liters, and so forth..

hope this helped !

Answer 10

4945 litres for every foot of depth. i assume that the diameter of the pool is 15 ft.