Using the information from the last question with the swimming pool that has a diameter of 15 feet and a height of 5 feet, if your water hydrant can supply 12 gallons of water per minute, how long will it take to fill the tank?
2006-10-16 05:55:30 · 5 answers · asked by ourdoorsangler 1 in Science & Mathematics ➔ Mathematics
Volume of a cylinder (pi * r² * h) to get cubic feet.
Multiply by 7.48 gallons per cu. ft.
Divide by 12 gallons (per minute) to get total minutes.
V = pi * r² * h
V = pi * (7.5)² * 5
V = 883.6 cu. ft.
Volume in gallons:
V * 7.48
= 883.6 cu. ft * 7.48 gallons / cu. ft.
= 6,609 gallons
Time:
= 6,609 gallons / 12 gpm
= 550.75 minutes
Since there are 60 minutes in an hour:
551 / 60 = 9, remainder 11
Thus you'll fill the pool in approximately 9 hours, 11 minutes.
2006-10-16 05:58:33 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
The volume of a cylinder equals the (area of the base)*height =pi*r^2*h
3.14 * (7.5^2) * 5 = 883.12 cubic feet
883.12 (cubic feet) = 6,606.50 US gallons
6606.5 / 12 = 550.54 minutes
2006-10-16 13:10:20 · answer #2 · answered by DanE 7 · 0⤊ 0⤋
i am taking the pool as semi circular
volume=1/2*3.14*15/2*15/2*5*7.48 gallons
time taken=3302.9 gallons/12=275min=4.59 hrs
2006-10-16 13:01:54 · answer #3 · answered by raj 7 · 0⤊ 0⤋
9 hours 10 minutes 47.92273 seconds.
2006-10-16 13:00:10 · answer #4 · answered by Anonymous · 0⤊ 0⤋
flow 12 gal/mn
V= 6609 gal
t= V/f = 6609/12 = 550.75 mn = 9 hrs 11 mn
2006-10-16 13:26:58 · answer #5 · answered by Anonymous · 0⤊ 0⤋