Which formula is used for measuring height of liquid column of a cylindrical vessel having inner diameter (d) and liquid volume(V)?

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  1. \(h = {{\pi V} \over d^24}\)
  2. \(h = {{4 V} \over d^2 \pi}\)
  3. \(h = {{4 V} \over d^2}\)
  4. \(h = {{4 V} \over d \pi}\)

Answer (Detailed Solution Below)

Option 2 : \(h = {{4 V} \over d^2 \pi}\)
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Detailed Solution

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Explanation:

The volume of a cylinder, V = \(\frac{π}{4}~×~d^2~×~ h\)

⇒ h = \({{4 V} \over π d^2}\)

∴ The formula used for measuring the height of a liquid column of a cylindrical vessel having an inner diameter (d) and liquid volume(V) is given by \({{4 V} \over π d^2}\).

Total surface area of cylinder = 2πr × (h + r)

Where, r = radius of the cylinder, h = height of the cylinder

The lateral surface area of cylinder = 2πrh

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