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You cannot. Diameter and length can, for some particular shapes, give you the volume. But that will not give you the mass unless you know the density of the substance.

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Q: How do you calculate the mass given diameter and length?
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What is the diameter in mm of a steel bar weighing 47.3 kg. the length is 625mm and density is 7.86?

As you have not given the shape of the bar but ask for a diameter I am going to assume the bar is cylindrical in shape. From the mass and density the volume can be calculated: density = mass / volume → volume = mass / density From the volume the diameter can be calculated: volume_cylinder = π × radius² × length → radius = √(volume / (π × length)) And diameter = 2 × radius However, as density is mass/volume, and mass and volume both have units, density has units which you have neglected to include; is it kg/m³, kg/l, kg/cm³, kg/mm³, g/m³, g/l, g/cm³, g/cm³, lb/ft³, lb/in³, t/ft³, etc? (The common metric ones are kg/m³ and g/cm³.) A quick search shows that it should be 7.86 g/cm³,;the calculation needs to be done with consistent units, so I'll take the easy option and work with the mass in g and the lengths in cm: 1 kg = 1000 g 10 mm = 1 cm So we have: mass = 47.3 kg = 47.3 × 1000 g = 47300 g length = 625 mm = 625 ÷ 10 cm = 62.5 cm density = 7.86 g/cm³ And can now calculate: diameter = 2 × radius → diameter = 2 × √(volume / (π × length)) → diameter = 2 × √(mass / (density × π × length)) → diameter = 2 × √(47300 g / (7.86 g/cm³ × π × 62.5 cm)) → diameter = 2 × √(47300 / (7.86 × π × 62.5) cm²) → diameter ≈ 11.1 cm = 11.1 × 10 mm = 111 mm


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