gr to ml Converter

Created by Davide Borchia
Reviewed by Komal Rafay
Last updated: Jun 30, 2023


Use our gr to ml converter to find the volume of a given mass of any material you can think of. Whether you are looking for conversion from grams or grains, we've got you covered! Keep reading to learn:

  • What is "gr": the confusion between unit symbols;
  • How to convert gr to ml: density as a constant;
  • Examples of conversion from gr to ml

What are gr?

gr is an abbreviation that can stand for two things: correct and incorrect.

  • Grams: the correct unit symbol for grams is g. The gram is a metric unit of mass (but not the base unit, even though it has no prefix!), corresponding to a thousandth kilogram.
  • Grains: this is the correct unit associated with the symbol gr. The grain is a particular unit of mass used in the apothecary system. Corresponding to a fraction of a gram, it's used to measure bullets, small amounts of chemicals, and materials in jewelry.

Probably you are not here for the conversion from grains to milliliters: unless you measured in person, you won't be able to find tables of densities in grains for milliliters. We assume you were looking for the grams to milliliter conversion, which is helpful from science to everyday life.

Conversion between grains and grams

If you need a converter from grains to milliliters, worry not: the required calculations don't get much more complicated. You need to learn a single number, the conversion factor from grains to grams:

1 gr=64.79891×103 g1\ \rm gr = 64.79891\times10^{-3}\ \rm g

Multiply your measurement in grains by this conversion factor to find how many grams your measure corresponds.

How to convert gr to ml?

To convert grams to milliliters, you need to use the density of the material you are considering as proportional constant between the two quantities; mass and volume are linked by the following relationship:

mass=density×volume\footnotesize \rm mass = \rm density \times \rm volume

Even though this is a relatively simple equation, it hides some fascinating details. Notice first what is density: density is a measure of how much a given volume of a material weigh. We express this quantity using the quantities mass and volume: [M]/[V][M]/[V]. Density is an intensive property: a quantity whose magnitude doesn't depend on the size of the system. The density of a material is the same whether you're measuring it on the scale of a pinhead or a skyscraper.
On the other hand, mass and volume are extensive properties: they depend on the scale at which you measure them. A teaspoon of sugar has a different mass than a bag of it. The bottom line is that the ratio of two extensive quantities is an intensive property, and we think this is pretty neat!

Conversion between gr and ml

To convert between grams and milliliters, you need to know the mass of an object and its density. You then need to follow a couple of simple steps:

  1. Convert the mass of the object in grams, if needed.
  2. Convert the density to grams per milliliter. To do so:
    • Take the density value, and apply the conversion to grams.
    • Take the result, and divide it by the conversion to milliliters (as this quantity is at the denominator).
  3. Divide the mass in grams by the density in grams per milliliter.

The result of these three steps is the object's volume corresponding to a given mass.

Example of conversion from gr to ml

Let's see the conversion from grams to milliliters for a given amount of gold. Gold is one of the densest metals on Earth (and as metals are pretty dense on average, also one of the densest materials in general), with an impressive density of 19300 kg/m319300\ \rm kg/m^3. How much volume would a 9 g9\ \rm g golden wedding ring occupy?

  1. The first step of the conversion is not necessary, as the mass of the object is already expressed in grams.
  2. We need to convert the density from kg/m3\rm kg/m^3 to g/ml\rm g/ml. To do so:
  • Convert the density to grams per cubic meter:
19,300 kg/m319,300 kg/m31,000 g/kg=19,300,000 g/m3\footnotesize\quad\quad \begin{split} &19,\!300\ \mathrm{kg/m^3} \\ &\equiv 19,\!300\ \mathrm{kg/m^3} \cdot 1,\!000\ \mathrm{g/kg}\\ &=19,\!300,\!000\ \mathrm{g/m^3} \end{split}
  • Convert the density to grams per milliliter, knowing that 1 m3=1000000 ml1\ \mathrm{m^3} = 1000000\ \mathrm{ml}:
19,300,000 kg/m319,300,000 kg/m311,000,000 ml/m3=19.3 g/ml\footnotesize\quad\quad \begin{split} &19,\!300,\!000\ \mathrm{kg/m^3} \\ &\equiv 19,\!300,\!000\ \mathrm{kg/m^3} \\ &\cdot \frac{1}{1,\!000,\!000}\ \mathrm{ml/m^3}\\ &=19.3\ \mathrm{g/ml} \end{split}
  1. Divide the mass of the object by the density: this way, the volume will move to the numerator, and we can simplify the masses:
V=9 g19.3 g/ml=0.4658 mlV = \frac{9\ \mathrm{g}}{19.3\ \mathrm{g/ml}} = 0.4658\ \mathrm{ml}

Why do we need to find the volume in milliliters? Maybe you want to be a novel Archimedes and measure water displacement while taking a bath!

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FAQ

How do I convert gr to ml?

To convert gr to ml or grams to milliliters, follow these simple steps:

  1. Convert the measured mass to grams.
  2. Convert the density of the material to the units grams per milliliter. Notice that 1 ml = 1 cm³.
  3. Divide the mass of the object by the density to find the volume of the object in milliliters.

How many milliliters is 15 grams of sugar?

15 grams of sugar corresponds to 17.75 ml. To find this result:

  1. Check if the mass of the objects is expressed in grams.
  2. Find the density of sugar in grams per milliliter: d = 0.845 g/ml.
  3. To find the volume, divide the mass by the density: V = M/d = 15 g/0.845 g/ml = 17.75 ml.

This result is slightly bigger than a tablespoon, a measure of volume in the US customary unit system.

How do I convert grains to grams?

To convert grains to grams, you need to remember the conversion factor between the two units:
1 gr = 0.06479891 g.
This is an exact conversion, so we keep all the decimal digits.
Once you know the conversion factor, multiply the measure in grains by it to find how many grams it corresponds. Notice how the result is always much smaller than the original measure.

Davide Borchia
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