SSC GD 2023 PYQ — Question 55

SSC GD Constable (English) - 12 Jan 2023 - Shift 2 • Quantitative Aptitude • Q55

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 = 227\frac{22}{7} )

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 112 m.

The volume of the cylindrical = πr2h where, h = height and r = radius

The volume of the cylindrical tank = 5632 m3

The diameter of its base = 8 m so, radius(r) = 4 m

⇒ πr2h = 5632

⇒ 22/7 × 4 × 4 × h = 5632

⇒ h = (5632 × 7)/(22 × 4 × 4)

⇒ h = 16 × 7 = 112 m