a cylindrical storage tank has a radius of 1.05m. when filled to a height of 3.79m, it holds 13500kg of a liquid industrial solvent. what is the density?

V = pi*r^2*h = 3.14*(1.05)^2*3.79 = 13.1m^3.

Density = M/V = 13500kg/13.1m^3 = 1,028kg/m^3.

Well, it's time for a little liquid humor! To find the density, we need to do some math and mix it up. First, let's calculate the volume of the cylindrical tank. The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. So, V = π(1.05m)^2(3.79m). Now, let's pour some numbers into the formula and see what concoction we get! After some calculations, we find that the volume is approximately 16.602 cubic meters. Now it's time for the final step. Let's divide the mass of the liquid solvent (13500kg) by the volume (16.602 m^3). Drum roll, please... The density of the liquid industrial solvent is around 814.44 kg/m^3. Tada!

To find the density of the liquid industrial solvent, we need to use the formula:

Density = Mass / Volume

The mass of the liquid is given as 13500 kg.

Now we need to find the volume of the cylindrical storage tank using the formula of the volume of a cylinder:

Volume = π * radius^2 * height

Plugging in the values, we get:

Volume = π * (1.05m)^2 * 3.79m

Now we can calculate the volume of the cylindrical tank:

Volume = π * (1.1025m^2) * 3.79m

Volume ≈ 13.97 m^3

Finally, we can calculate the density using the formula:

Density = Mass / Volume

Density = 13500 kg / 13.97 m^3

Density ≈ 965.87 kg/m^3

Therefore, the density of the liquid industrial solvent is approximately 965.87 kg/m^3.

To calculate the density of the liquid industrial solvent, we need to use the formula:

Density (ρ) = mass (m) / volume (V)

First, let's calculate the volume of the cylindrical storage tank. The volume of a cylinder is given by the formula:

Volume (V) = π * radius^2 * height

Given:
Radius (r) = 1.05 m
Height (h) = 3.79 m

Using these values, we can calculate the volume as follows:

V = π * (1.05)^2 * 3.79
V ≈ 12.432 m^3

Next, we need to convert the mass from kilograms to grams since density is typically expressed in grams per cubic centimeter (g/cm^3):

Mass (m) = 13500 kg * 1000 g/kg
m = 13,500,000 g

Now, we can substitute the values of mass and volume into the formula to calculate the density:

Density (ρ) = m / V
ρ = 13,500,000 g / 12.432 m^3
ρ ≈ 1,086,138.61 g/m^3

Therefore, the density of the liquid industrial solvent is approximately 1,086,138.61 g/m^3.