A cylindrical tank has a capacity of 5632 m3. If the diameter of its base is 8 m, what is the depth of the cylindrical tank? (Use π = \(\frac{22}{7}\))

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SSC GD Constable (2022) Official Paper (Held On : 12 Jan 2023 Shift 2)
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  1. 112 m
  2. 118 m
  3. 116 m
  4. 114 m

Answer (Detailed Solution Below)

Option 1 : 112 m
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Given

Capacity of cylindrical tank = 5632 m3

Diameter of base = 8 m

Concept:

Volume of a cylinder = πr2h.

Calculation:

Radius of base = Diameter/2 = 8/2 = 4 m

⇒ Let's substitute the values into the formula:

⇒ 5632 = (22/7)42h

⇒ Solving for h, we get h = 5632/((22/7) × 16) = 112 m.

Therefore, the depth of the cylindrical tank is 112 m.

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