Can i please have help on working out how much water should my pool hold?

Question

diameter of 457cm depth of 1 metre

thank you before hand for everybody's help

Answer 1

The formula for volume is the area of the base (your base is a circle) times the depth.

1 meter = 100 cm

Pi = 3.14

diameter = 2 x radius (r) therefore, r = 0.5 x diameter

The formula for the are of a circle (the shape of the bottom of your pool) is:

Pi X r squared.  

  

Your r = 0.5 x 457 = 228.5 cm, the r of your pool

228.5 squared = 52,212.25 sq cm

3.14 x 52,212.25  = 163,946.47 cm sq.

You must multiply the area of the base by the depth to get volume:  

163,946.47 sq cm  x 100 cm  =  16,394,647 cc

Let's convert cc to liters:

16,394,647 cc = 16,394,647 ml =

16,394.647 liters, the volume of your pool.

To repeat and summarize:

As I said, to find volume you multiply the area of the base times the depth.  Your base is a circle.  So, you substitute the formula for the area of a circle into the problem for the area of the base.  Thus, the whole problem looks like the following:

  (Pi   x  radius squared   x  depth)  substitute your numbers:

3.14 x (457 x 0.5) squared x 100 = the volume of your pool

3.14 x 228.5 x 228.5 x 100 =  16,394,647 cc, the volume

change cc to LITERS  =  16,394.647 L

Answer 2

Length * Width * Height = Volume;

Assuming it is square...