Respuesta :
Answer:
[tex]6,157.5ft^3[/tex]
Step-by-step explanation:
We are looking for the volume of the tank which has a cylindrical shape.
The volume of a cylinder is given by:
[tex]V=\pi r^2 h[/tex]
where r is the radius of the circular base and h is the height.
In this case we have:
diameter: [tex]d=14 ft[/tex]
and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]
also the height is: [tex]h=40ft[/tex]
we substitute these values into the equation to find the volume:
[tex]V=(3.1516)(7ft)^2(40ft)[/tex]
solving the expression:
[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]
the tank can fit [tex]6,157.5ft^3[/tex] of gas
Amount of gas filled in tank is 6,154.4 feet³
Volume of cylinders:
Given that;
Diameter of cylindrical tank = 14 feet
Length of cylindrical tank = 40 feet
Find:
Amount of gas filled in tank
Computation:
Diameter of cylindrical tank = 14 feet
Radius of cylindrical tank = 14 / 2 = 7 feet
Amount of gas filled in tank = Volume of tank
Amount of gas filled in tank = πr²h
Amount of gas filled in tank = (3.14)(7)²(40)
Amount of gas filled in tank = (3.14)(49)(40)
Amount of gas filled in tank = 6,154.4 feet³
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