Tank Volume calculation

x

Calculate Radius, r

Pythagoras

r2 = (x/2)2 + (r-y)2

r = ((x/2)2+y2)/(2*y)

so if

x =

160

Enter your figures in cm here

y =

40

Enter your figures in cm here

h=

60

Enter your figures in cm here

h' = height of tank

Then

r =

100.00

Area of top of tank - calculate area of 'Pie' segment and subtract area of triangle beneath

angle 'w' is half the angle of the pie slice

sin w = (1/2*x)/r

sin w = x/(2*r)

sin w =

0.80

Then

w =

53.13

degrees

The whole Pie slice has an angle of 2 x w     =             =2*

106.26

degrees

The area of the pie slice = (2 x w)/360 x Pi x r2

Then area of pie slice =

9272.95

cm2

The triangle beneath has area of 1/2 base x height =

1/2 * x * (r-y)

Then area of triangle =

4800

cm2

The area of top of tank = area of pie slice - area of triangle

Then area of top of tank =

4472.95

cm2

To calculate volume - multiply area by height 'h'

Then volume =

268377.1

cm3

=

268.38

litres

=

59.11

gallons