Problema Solution
What is the weight of a 50ft fire hose filled with water if the hose is 3" in diameter and the weight of the empty hose is 35lbs? water weighs 62lbs per cubic foot.
Answer provided by our tutors
The weight of the hose filled with water will equal:
Total weight=(weight of empty hose)+(weight of water)
Diameter of hose in feet:
3in=3in(1ft/12in)=.25 feet
Radius of hose:
r=(1/2)d=(1/2).25=.125 feet
Amount of water:
length(pi*r^2)=50(pi*(.125^2)= 2.45 ft^3
Weight of water:
2.45 ft^3 (62 lbs/ft^3)=152.17 lbs.
Total weight:
Total weight=35lbs+152.17 lbs=187.17 lbs