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?

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

your answer would be 10x - 1

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.