The volume of a fiberglass storage tank needs to be calculated using the appropriate formula based on its shape. The calculation methods differ for cylinders, spheres, and ellipsoids.
1. Cylindrical Storage Tanks
(1) Vertical Cylindrical Storage Tank
The volume formula is \(V = \pi r^2 h\), where \(r\) is the base radius and \(h\) is the tank height.
Example: A storage tank with a radius of 2 meters and a height of 5 meters has a volume of \(V = 3.14×2^2×5 = 62.8\) cubic meters.
(2) Horizontal Cylindrical Storage Tank
When the liquid level height \(h\) equals the diameter \(D\), the volume formula is \(V = \pi r^2 L\), where \(L\) is the tank length. When the liquid level height \(h < D\), the area of the arc \(A = r^2\arccos\left(\frac{r - h}{r}\right) - (r - h)\sqrt{2rh - h^2}\) and the volume \(V = A×L\) must be calculated first.
2. Spherical Storage Tank The volume formula is \(V = \frac{4}{3}\pi r^3\), where the radius \(r\) directly affects the volume.
Example: A spherical tank with a radius of 3 meters has a volume of \(V = \frac{4}{3}×3.14×3^3 = 113.04\) cubic meters.
3. Ellipsoidal Storage Tank The formula is \(V = \frac{4}{3}\pi abc\), where \(a\), \(b\), and \(c\) are the lengths of the three semi-axes of the ellipsoid. The values of the three half-axis must be accurately measured before use.