How do you work out the capacity of a water tank mathematically?

Question

We purchased an alleged 10,000 gallon water tank.Yet we have had water delivered by a tanker that can only hold 4,400 gallons and the tank is 75% full.We talked to the builder,and all he quoted were some metric measurements(5.1metres diameter and 2.65 metres in height) which is the correct dimensions of our physical tank.So,what is going on?Any thoughts on this problem?Thank you to everyone who takes this on board.

Answer 1

Volume.

if it has an irregular shape, fill it up to capacity, and empty it in 25 litre drums.

multiply frequency with 25

Answer 2

Obviously, the quoted volume is the tank exterior volume and not its capacity.

Checking the dimensions:
V = Pi * d²h/4 ~54m³ or about 14000 gallons.

You contend that the tank should hold 4400/0.75 or about 6000 gallons if the tanker could have filled it.

There seems to be some disconnect here. There's no way that a water tank is going to have approximately (14000-6000)/14000 or about 60% unusable volume.

Double check the dimensions. Ask the manufacturer if the rated volume is capacity or tank exterior volume. If the latter, ask what the rated capacity is.

Answer 3

Interesting.

The volume of a cylinder is the area of the base times the height. The area of the [circular] base would be πr², and 'r', the radius would be half the diameter, so:
r = 2.505m
and
V = π × 2.505² × 2.65
= 52.24m³

One cubic meter can hold 1000 liters, so the volume of the tank should be 52240L, which converted to gallons is 13800.

So, perhaps as the first responder suggested, the tank is an irregular shape.

Answer 4

2.65 * pi * (5.1/2) ^ 2 ~= 54 m^2
using goolgle
54 m^2 = 14000 us gallons
or 11000 Imperial gallons

keep in mind that you were using outer measurements, so the internal diameter and length would be smaller.

But, it sounds like you have a 10 k gallon tank. It's more likely that the floater is off.

Answer 5

a cylinder of 5.1m diameter and height = 2.65 m has Volume V = Pi (d^2)/4 *h

V = 3.14 ( (5.1)^2) /4 * 2.65
V = 54.107 m^3 = 14293.6 gallons

I think you should measure the dimensions of your tank

Answer 6

capacity loft water tank

Answer 7

http://server1.fandm.edu/departments/Mathematics/writing_in_math/projects/calc2/tank-soln.html