Spherically dished head partial volumes

The equations for partial volumes of a liquid occupying spherically dished heads follow. 

FIGURE 2.15 Partial volume of a spherically dished head in the horizontal position. 

A spherically dished head with a 1 U-inch OD is spun from a l-inch plate. Determine the partial volume of liquid that is at the bottom portion of the head. The head is shown in Figure 2.16, with a liquid level 10.0 inches below the centerline. From the vessel head manufacturer s catalog, you can determine the following ... 

---