SSC CGL 2024 PYQ — Question 69

SSC CGL - 25 Sep 2024 - Shift 2 • Quantitative Aptitude • Q69

A cylindrical tank of radius 14 cm is full of water. If 616 litres of water are drawn out, then the water level in the tank is dropped by _________ m. (Take π = 227\frac{22}{7})

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 10.

Volume = 616 liters

On changing into cm3

Volume = 616 × 1000

We know that,

Volume of the cylinder = πr2h

here, r = radius, h = height of the tank

⇒ 616 × 1000 = 22/7 × 142 × h

⇒ 28 × 1000 = 1/7 × 142 × h

⇒ 2 × 1000 = 1/7 × 14 × h

⇒ 2 × 1000 = 2 × h

⇒ h = 1000 cm2

⇒ h = 1000/100 = 10m2