Question

A city has a population of 1,75,000. Using the Kuichling’s formula the estimated fire demand for the city is _________ litres/min. (rounded off to two decimal places)

Hint:

Kuichling’s formula is useful for estimating fire demand based on population size, and it is widely used in urban planning and fire safety design.

Answer 1

Kuichling’s formula for fire demand is given by: \[ Q = 0.07 \times P^{0.75} \] where:
\( Q \) is the fire demand in litres per minute,
\( P \) is the population.
Step 1: Substitute the given population of \( P = 1,75,000 \) into the formula: \[ Q = 0.07 \times (1,75,000)^{0.75} \] Step 2: Compute \( P^{0.75} \): \[ P^{0.75} = (1,75,000)^{0.75} \approx 420,000 \] Step 3: Now calculate the fire demand \( Q \): \[ Q = 0.07 \times 420,000 = 29,400 \, {litres/min} \] Conclusion: The estimated fire demand for the city is approximately 42,000 litres/min.