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Question 87325: I have no idea what I'm doing, please help!
1. Assume you have a fire truck that has a tank that is 60"x70"x57".
A. How many gallons of water will it hold?
B. At the station, you fill the tank. You use an overhead fill that puts out 162 gallons per minute. How long will it take to fill the tank?
C. How much extra weight will it add to the truck when full?
D. If your hose puts out a maximum of 1260 gallons per minute, how long will you have to hook up a hydrant if you run at max?
E. A tanker comes to the scene that is 12 ft long and has a diameter of 6 ft. How many gallons of water will the tanker add to the scene?
A. I got 1039.05 galllons.
B. I got 6.41 minutes
C. 8,671.15 lbs
I am completely confused on D & E Please help!
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! . Assume you have a fire truck that has a tank that is 60"x70"x57".
:
A. How many gallons of water will it hold?
Find the cubic inches of the tank
60 * 70 * 57 = 239400 cu/inches
Convert to cubic feet
239400/1728 = 138.54 cu/ft
Convert cubic feet to gallons, 7.481 gal per cu/ft:
7.481*138.54 = 1036.43 gallons in the tank (about what you had)
:
B. At the station, you fill the tank. You use an overhead fill that puts out 162 gallons per minute. How long will it take to fill the tank?
1036.43/162 = 6.4 minutes to fill the tank, (agrees with your answer)
:
C. How much extra weight will it add to the truck when full?
Convert cu/ft to pounds: 138.54 * 62.38 = 8,642.12 pounds
:
D. If your hose puts out a maximum of 1260 gallons per minute, how long will you have to hook up a hydrant if you run at max?
1036.43/1260 = .82256 minutes (49.35 seconds)
:
E. A tanker comes to the scene that is 12 ft long and has a diameter of 6 ft. How many gallons of water will the tanker add to the scene?
Find the volume of a cylinder, r=3, h=12
V = pi*r^2*h
V = pi*3^2*12
V = 339.29 cu/ft
Convert to gallons:
339.29 * 7.481 = 2538.24 gallons
:
The difference between our answers is probably because of the difference of
conversion factors.
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