System design, Calculating tank volumes hemispherical end, Spherical segment – Rice Lake Weigh Modules/Mount Assemblies User Manual
Page 17: Hemispherical end (partially filled), Wedge i
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SYSTEM DESIGN
Calculating Tank Volumes
Hemispherical End
Volume =
π
D
3
12
D
2
D
Spherical Segment
Volume =
π
L
D
2
8
+
L
2
6
L
D
The radius of the sphere from which the segment is cut is
r =
D
2
+
4L
2
8L
Note: r
≠
D
2
(D is the diameter of the vessel)
Hemispherical End (Partially Filled)
Volume =
π
(3h
2
D
−
2h
3
)
12
h
D
Square Prism
(Rectangular Cross Section)
Volume =ABH
A
H
B
Square Prism (Square Cross Section)
Volume = A
2
H
A
H
A
Wedge I
Volume =
a
+
A
2
Bh
a
B
A
h
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