A hemispherical tank has an internal radius of 3 meters. It is being filled with water at a rate of 1800π liters per minute. How long will it take to completely fill the tank? (Note: 1 meter³ = 1000 liters)
Show answer & explanation
Correct answer: B
Explanation
Given:
Radius of hemisphere = 3 m
Rate of filling water = 1800π L/min
1 m³ = 1000 L
By formula:
Volume of hemisphere = (2/3)πr³
Volume = (2/3)π × 3³ = 18π m³
In liters = 18π × 1000 = 18000π L
Time = Total Volume / Rate
= 18000π / 1800π = 10 minutes