The dimensions of a swimming pool are 66 m x 35 m x 3 in How many hours will it take to fill the poo...........

Quantitative Aptitude (CPO) Mensuration 3D

The dimensions of a swimming pool are 66 m x 35 m x 3 in. How many hours will it take to fill the pool by a pipe of diameter 35 cm

with water flowing at speed 8 m/s?

This questions was previously asked in

SSC CPO 15th-March-2019-Shift-1

2.75

3.5

2.5

3.2

Let’s break down the solution:

- Pool Dimensions: 66 m x 35 m x 3 m (note: the depth should be 3 *m*, not 3 in, for realistic calculation)

- Volume of Pool: 66 x 35 x 3 = 6930 m³

- Pipe diameter: 35 cm = 0.35 m, so radius = 0.175 m

- Area of Pipe Cross-section: p x (0.175)² ˜ 0.0962 m²

- Water flow rate: 0.0962 m² x 8 m/s ˜ 0.7696 m³/s

- Time to fill: 6930 m³ ÷ 0.7696 m³/s ˜ 9006 seconds ˜ 2.5 hours

Options explained:

- Option 1: 2.75 hours — Slightly higher than calculated time.

- Option 2: 3.5 hours — Too high.

- Option 3: 2.5 hours — matches calculation.

- Option 4: 3.2 hours — Too high.

Correct Answer:

Option 3 - 2.5 hours

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