Calculate the volume of a cylinder of circular base is easy if we know the radius of one of its bases and the height, that is, the distance between both bases. If you know the value of these unknowns, simply enter it in our online calculator and you will get the value of the volume of that particular cylinder.
Formula for the volume of a cylinder
If you want to know the formula for calculating the volume of a cylinderBelow is the one you should use to solve your math problems:
V = π r 2-h
As we increase the height (h) or the radius (r) of the base, the volume of the cylinder also increases, although in this case, the value of the radius has a greater influence because it is squared.
Calculate volume of a cylinder in liters
For to get the volume of a cylinder in liters you have to apply the above formula in the same way and depending on the resulting units, passing the volume of the cylinder to liters is done in a different way in each case.
Yes the volume of the cylinder is in cm3to convert it to liters you have to multiply by 0.001. For example, let's imagine that we have solved an exercise in which we are given a cylinder with a volume of 250 cm.3 and we want to convert it to liters:
V = 250 x 0,001 = 0,25 liters
Yes the volume of the cylinder is in cubic meters (m3), to convert it to liters we have to multiply by 1,000. If we have a cylinder of 3,2 m3 of volume, how many liters fit inside?
V = 3,2 x 1000 = 3200 liters
As you can see, calculate the volume of a cylinder in liters it does not involve much difficulty although if you have doubts, you can leave us a comment and we will help you.
Volume of a cylinder from the area
For Calculate the volume of a cylinder from its area.If we do not know the height of the figure, it is essential that they also give us the height of the figure, otherwise we will lack data to solve the problem.
If we have the area of the cylinder and its height, we can easily deduce the radius of its base to calculate the volume.
To do this, you simply have to substitute in the following equation of the area of the cylinder the data you have:
A = 2 π r ( r + h )
Y clear the value of r which will allow us to get the volume later. For example, let's calculate the volume of a cylinder whose area is 150.80 cm.2 and its height is 5 cm.
150,80 = 2 π r (r + 5)
Let's develop the above equation to remove the parenthesis:
150.80 = 2πr2 + 10πr
As you can see, we have been left with a second equation degree that when solved, leaves us with the following solutions:
r1 = 3 cm
r2 = -8 cm
As you can see, one of the solutions is not valid since the radius can never be negative so we are left with the only valid solution and that is that the radius is equal to 3 cm.
Now we now have all the data to calculate the volume of the cylinder so we go to the formula and substitute:
V = π r 2-h = π - 32 -5 = 45π = 141,37 cm3
How to calculate the volume of a cylinder without having its height
As we have seen in the formula to calculate the volume of a cylinder, the height is an essential piece of information. If we are not given this data, we can do several things:
- Assume any height of the cylinder, indicating it in the exercise.
- Solve the formula to calculate the volume of the cylinder and leave the result as a function of h (For example, volume = 3.42h).
There is no other way to solve the exercise without knowing the height of the figure.
Common errors when calculating the volume of a cylinder
When calculating the volume of a cylinder we may have some failures that give us as a result a very different result to the one we are looking for. Here are the most common ones.
Make sure all units are the same
In the formula for calculating the volume of a cylinder there are two unknowns: the height and the radius of the circle.
For the result to be correct, you must make sure that both are in the same units. If the height is given in meters and the radius in centimeters, you must convert them to the same unit.
Do not confuse radius with diameter
Another common failure is confusing radius with diameter. In math problem statements they know that getting this wrong is easy.
If you are given the diameter of the base of the cylinder, all you have to do is divide by two to obtain the radius. The value obtained is the one to be used to calculate the volume of the cylinder.
How much is PI worth?
Remember that PI is worth 3.14 if you only want to use two decimal places. If you want a more precise result, you can calculate how much PI is worth with as many decimal places as you see fit.
Without knowing the value of PI you will not be able to calculate the volume of a cylinder.
Calculate area of a cylinder
If in addition to calculating the volume, you also want to calculate the area of this figure. Here we leave you with our online cylinder area calculator.
There you will see that radius and height are again the two influencing variables directly in the calculation of the area occupied by the cylinder.