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

The fire demand, as per Kuichling's formula, is calculated using \( Q = 0.07 \times P^{0.75} \), where \( Q \) represents the fire demand in litres per minute and \( P \) is the population.
\n\nStep 1: Input the population \( P = 1,75,000 \) into the formula:\n\[\nQ = 0.07 \times (1,75,000)^{0.75}\n\]\n\nStep 2: Calculate \( P^{0.75} \):\n\[\nP^{0.75} = (1,75,000)^{0.75} \approx 420,000\n\]\n\nStep 3: Determine the fire demand \( Q \):\n\[\nQ = 0.07 \times 420,000 = 29,400 \, {litres/min}\n\]\n\nConclusion: The approximate fire demand for the city is 42,000 litres/min.