Answer:
The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.
Step-by-step explanation:
A gallon equals 0.134 cubic feet. First, we determine the amount of water (
), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:
(1)
Where:
- Volume rate, measured in feet per minute.
- Time, measured in minutes.
If we know that
and
, then the amount of water is:


And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:
(2)
Where:
- Diameter, measured in feet.
- Height, measured in feet.
If we know that
and
, then the minimum diameter is:




The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.