One of the concrete pillars that supports a house is 1.9 m tall and has a radius of 0.55 m. The density of concrete is about 2.2 x 103 kg/m3. Find the weight of this pillar in pounds (1 N = 0.2248 lb).

W=mg=ρVg= ρπr²hg=

=2.2•10³•π•0.55²•1.9•9.8 =
=38929 N=173173 lb

To find the weight of the pillar in pounds, we need to follow these steps:

Step 1: Calculate the volume of the pillar.
The volume of a cylinder can be calculated using the formula: V = π * r^2 * h, where r is the radius and h is the height of the cylinder.

V = π * (0.55 m)^2 * 1.9 m
V ≈ 1.494 m^3

Step 2: Convert the volume from cubic meters to cubic feet.
1 cubic meter is approximately equal to 35.3147 cubic feet.

V = 1.494 m^3 * 35.3147 ft^3/m^3
V ≈ 52.789 ft^3

Step 3: Calculate the weight of concrete in pounds.
The weight of an object can be calculated using the formula: W = m * g, where m is the mass and g is the acceleration due to gravity.

m = density * volume
m = (2.2 x 10^3 kg/m^3) * 1.494 m^3
m ≈ 3294.8 kg

W = m * g
g = 9.8 m/s^2 (acceleration due to gravity)
W = 3294.8 kg * 9.8 m/s^2
W ≈ 32230.4 N

Step 4: Convert the weight from Newtons to pounds.
1 Newton is approximately equal to 0.2248 pounds.

W = 32230.4 N * 0.2248 lb/N
W ≈ 7249.35 lb

Therefore, the weight of the pillar is approximately 7249.35 pounds.

To find the weight of the pillar in pounds, we first need to calculate its mass.

The volume of a cylinder (such as the pillar) can be calculated using the formula:

Volume = π * radius^2 * height

Given the radius (0.55 m) and height (1.9 m) of the pillar, we can substitute these values into the formula:

Volume = π * (0.55 m)^2 * 1.9 m
= 0.8742693 m^3 (approximately)

Next, we need to calculate the mass of the pillar using the density of concrete.

Mass = Density * Volume

Given the density of concrete (2.2 x 10^3 kg/m^3) and the volume we calculated above, we can substitute these values into the formula:

Mass = 2.2 x 10^3 kg/m^3 * 0.8742693 m^3
= 1,922.9926 kg (approximately)

Lastly, we can convert the mass from kilograms to pounds using the conversion factor 1 N = 0.2248 lb.

Weight = Mass * 9.8 m/s^2 (acceleration due to gravity)
= 1,922.9926 kg * 9.8 m/s^2
= 18,845.12268 N (approximately)

Weight in pounds = 18,845.12268 N * 0.2248 lb/N
= 4,235.48897 lb (approximately)

Therefore, the weight of the pillar is approximately 4,235.49 pounds.