Finding The Volume Of Objects

Finding the volume / capacities of various objects is generally quite simple, just follow these formulas.

• Rectangular tanks
• Cylindrical tanks
• Elliptical tanks
• Spheres
• Frustum shaped tanks

Finding The Volume Of A Rectangular Tank

• V = volume
• L = length
• H = height
• W = width

Formula

V = L x W x H

• To find the volume in Liters:
  • Measure the tank in centimeters and divide the result by 1000. (Example: 13cm x 11cm x 28cm = 4004cm3 4004cm3 /1000 = 4.004 L)
  • Measure the tank in meters and multiply by 1000.
• To find the volume in US gallons:
  • Measure the tank in inches and divide by 231.
  • Measure the tank in feet and multiply by 7.48.

Finding The Volume Of A Cylindrical Tank

• V = volume
• D = diameter
• L = length

Formula

V = D x D x 0.7854 x L or V = ∏R2L

• To find the volume in Liters:
  • Measure the tank in centimeters and divide the result by 1000.
    (Example: 10cm x 10cm x 0.7854 x 30cm = 2356.2cm3) (2356.2cm3 / 1000 = 2.36 L)
  • Measure the tank in meters and multiply by 1000.
• To find the volume in US gallons:
  • Measure the tank in inches and divide by 231.
  • Measure the tank in feet and multiply by 7.48.

Finding The Volume Of An Elliptical Tank

• V = volume
• L = length
• W = width
• H = height

Formula

V = H x W x 0.7854 x L

• To find the volume in Liters:
  • Measure the tank in centimeters and divide the result by 1000.
    (EX: 20cm x 10cm x 0.7854 x 30cm = 4712.4cm3) (4712.4cm3 / 1000 = 4.71 L)
  • Measure the tank in meters and multiply by 1000.
• To find the volume in US gallons:
  • Measure the tank in inches and divide by 231.
  • Measure the tank in feet and multiply by 7.48.

Finding The Volume Of A Spherical Tank

• V = volume
• D3 = diameter cubed

Formula

• To find the volume in Liters:
  • Measure the tank in centimeters and divide the result by 1000.
    (EX: 20cm x 20cm x 20cm x 0.5236 = 4188.8cm3) (4188.8cm3 / 1000 = 4.19 L)
  • Measure the tank in meters and multiply by 1000.
• To find the volume in US gallons:
  • Measure the tank in inches and divide by 231.
  • Measure the tank in feet and multiply by 7.48.

Finding The Volume Of A Frustum Tank

A frustum can be multi-sided or conical, the formula below will work for both.

• V = volume
• H = height between bases
• B1 = area of upper base
• B2 = area of lower base

Formula

• To Find The Volume In Liters:
  • Measure the tank in centimeters and divide the result by 1000.
  • Measure the tank in meters and multiply by 1000.
• To find the volume in US gallons:
  • Measure the tank in inches and divide by 231.
  • Measure the tank in feet and multiply by 7.48.