If 4-inch (100 mm) Schedule 40 sprinkler piping has an actual inside diameter of 4.026 inches (102.3 mm), how many gallons (liters) of water could be contained in 135 feet (40 meters) of this pipe? How much would the water in this pipe weigh? US unites ( answer by pounds )

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If 4-inch (100 mm) Schedule 40 sprinkler piping has an actual inside diameter of 4.026 inches (102.3 mm), how many gallons (liters) of water could be contained in 135 feet (40 meters) of this pipe? How much would the water in this pipe weigh?

US unites ( answer by pounds )

Expert Solution
Step 1

step:-1

Volume of pipe = π r2h

Here, r denotes inside radius and h denotes height.

Given that inside radius of pipe = 4.026 inches = 0.3355 feet

height pf pipe = 135 feet

volume of pipe = π r2h=π×0.335522×135=11.9346 cubic feet

Note:- radius = diameter2

volume of pipe = 11.9346 cubic feet

step:-2

1 cubic foot =7.48 gallon  of water  then

47.7385 cubic feet =11.9346 × 7.48=89.2710  gallon of water

1 gallon of water = 8.34 lbs (pound)

89.2710 gallon = 89.2710 × 8.34 =744.5201 lbs

 

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