A pressurized cylindrical canister is going to be filled with air. The canister has a diameter of 2.8 inches and a height of 8 inches. With the can unfilled it has a density of 0.0203 pounds per square inch. When the can is filled, it has a density of. 1218 pounds per square inch. How many pounds of air were added?

Answer:5.001916 pounds of air.

Step-by-step explanation:

Given:

Diameter = 2.8 Inc.

Radius (r) = diameter/2

= 2.8/2

= 1.4 Inc.

Height (h) = 8 inc.

The density of the unfilled can (du) = 0.0203 pounds per square inch

The density of the filled can (df) = 0.1218 pounds per square inch

Volume of the cylindrical can = πr²h

=3.142 x (1.4 x 1.4) x 8

= 49.28

Density = Mass / volume

Mass = Density x Volume

Mass of the can = 0.0203 x 49.28

= 1.000384 pounds

Mass of the can filled with air = 0.1218 x 49.28

= 6.0023 pounds

The mass of air filled = mass of can filled with air - mass of the can

= 6.0023 - 1.000384

= 5.001916 pounds