Q&A for How to Calculate Volume and Density

If we assume that the hole is cylindrical, the volume would be r²πh, where the radius (r) is half the diameter 16/2 = 8ft and the height (h) is 20ft. Then you have 64 * π * 20, which equals approximately 4,021. Thus you will need 4,021 cubic feet of dirt.

First what is the formula for the volume of a cone? (π)(r^2)(h/3). So when you input the parameters you get approximately 301.59 cm cubed. This is the volume. Since the density of the metal is 3.1g/cm cubed it means that each cm cubed weighs 3.1g. So you take the volume and multiply it by the density, which comes to 934.929 grams.

It's the division sign, which, on most computers is the '/' or "slash" is used, so 1/4 is the same as one divided by four, (= one quarter) which may also be written in decimals as 0.25. So, in the example, (density=mass/volume), the mass is divided by the volume.

Density is the mass (grams or pounds or whatever else) of an object divided by its volume (liters or gallons or whatever else). What you end up with is grams/liter or pounds/gallon, and that is the density. The volume can be figured out by reversing the formula essentially, you need to multiply density by volume.

If you want to calculate length and width of a cube from volume, you can just take the cubed root (aka take the volume to the power of 1/3).

Follow the instructions listed in the article above.

Assuming you mean from one unit of density to another: The two most common units of density are kg/m^3 and g/cc (or g/cm^3). You can convert from g/cc to kg/m^3 by multiplying by 1000 (10^3) and reverse it by dividing by 1000. If you get density with capacity measurements, such as kg/l and g/ml, remember that 1 cc (cm^3) = 1 ml.

A cubic centimetre is cm^3 or cc. However, you could show density as g * cm^-3. This is because of the negative exponent rule which says that: a^-n = 1/a^n. Thus g * cm^-3 = g * 1/cm^3 = g/cm^3.

The girder's volume is (20 m)(0.1 m)(0.1 m) = 0.2 cubic meter. Depending on the type of steel being used, the density of the girder is approximately 7,850 kg per cubic meter. So the mass (weight) of the girder is (0.2 cu m)(7,850 kg/m³) = 1,570 kg or 3,454 lb.

The volume of the water displaced is equal to the volume of that portion of the object that is below the surface of the water.