Correct Answer - Option 1 : 5760 liters
Given:
A leakage in the bottom of the container can empty the full container in 6 hours
An inlet pipe fills water at the rate of 4 L per minute
Concept:
If a tap can fill a tank in x hours, then the tank filled by the tap in 1 hour = 1/x of the total tank.
Calculation:
Part of container filled by inlet pipe in 1 hour = \(\frac{1}{6} - \frac{1}{8}{\rm{}} = {\rm{}}\frac{{4 \;- \;3}}{{24}}{\rm{}} = {\rm{}}\frac{1}{{24}}\)
If there is no leak, the inlet pipe will fill the container in 24 hours.
Capacity of the container = 24 × 60 × 4 = 5760 liters
∴ The capacity of the container is 5760 liters.