By multiplying the circular segment area by the length of the tank, you can calculate the volume of the filled portion. The formula for the circular segment area is A = (1/2)r²(θ - sinθ), where r is the radius and θ is the central angle of the segment. It represents the portion of the tank that is filled with liquid. Q: What is the circular segment and how is it used in calculating the filled volume?Ī: The circular segment is the shaded area in the cross-section of the tank. If the fill height (m) is greater than 1/2 of the diameter (d), use the formula V(fill) = V(tank) - V(segment), where V(tank) = πr²l is the total volume of the tank. If the fill height (m) is less than 1/2 of the diameter (d), use the formula V(fill) = V(segment), where V(segment) = (1/2)r²(θ - sinθ)l. Q: How do I calculate the filled volume of a horizontal cylinder tank?Ī: To calculate the filled volume of a horizontal cylinder tank, you need to determine whether the fill height (m) is less than or greater than half the diameter (d) of the tank. The angle θ can be calculated as 2*arccos(m/r), where m is the fill height and r is the radius. For the volume of a partially filled horizontal cylinder tank: V(fill) = V(tank) - V(segment), where V(segment) = (1/2)r²(θ - sinθ)l. For the total volume of a horizontal cylindrical tank: V(tank) = πr²l, where r is the radius (equal to half the diameter) and l is the length of the tank. Q: How can I calculate the volume of a horizontal cylinder tank?Ī: To calculate the volume of a horizontal cylinder tank, you can use the following formulas:
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