The calculations of volumes of geometric bodies require a little ability to remember the formulas that allow to do it, to know some basic operations of Mathematics and to remember some guidelines to work with units. In other words, it is not just about knowing a formula and multiplying numbers, since with this we can make serious mistakes that will prevent us from reaching the correct result and, the worst thing is that we will not realize that what we did is wrong.
It is for all this that good judgment and a minimum knowledge base on calculation and measurement units must always be present. In the same way, if we work with the computer in which we put the data and press a button to get the result, we can trust the success of solving the problem as long as we have entered the required measurements correctly, that is, in the same units, if we did not do it like this, the result will be incorrect and we will not realize it.
We will teach you how to calculate the volume of a cylinder, its formula, how to work with units of measurement and how to calculate it using your computer.
What do you need to calculate the volume of a cylinder?
- Pencil, paper, formula, calculator.
- Computer with Internet connection.
Instructions for calculating the volume of a cylinder
- The geometric bodies are those that occupy a place in space, and one of them is the cylinder. For you to understand better, let’s see the difference between a figure and a body: The figure is included in a plane(only two dimensions) as it is, for example, the circle, the square, the rhomboid, they do not have volume. On the other hand, bodies are located in space (three dimensions), they have width, length and height, they have volume. For example the cube, the cone, the cylinder, the pyramid, etc.
- The cylinder in general is a surface generated by the movement of a straight line (generatrix) along a closed curve (directrix). That is to say that a cylinder can have different shapes, although we are used to imagining it with a circular directrix and with a generatrix perpendicular to the base, let us imagine, for example, a straight glass, a jar, etc. This cylinder is called circular right and is what we are going to refer to.
- To calculate the volume of the cylinder we must first calculate the area of the base (circle area) and then multiply it by its height:
- Base area: π. R2, where π = 3.14 and R : the radius of the circle. This result is then multiplied by the height of the cylinder ( H ). This can be done in a single step, so the formula will be:
- For example, we will calculate the volume of the cylinder that has a radius of 14 cm and a height of 20 cm: V = 3.14. (14cm) 2 . 20 cm = 3.14. 196cm 2 .20cm = 12308.8cm 3
- You will see that the boost (14cm x 14cm) is solved first and then multiplied by the other two numbers. The units of both the radius measurement and the height measurement are expressed in They could also have been expressed in m or dm, or in mm, or in any unit of length as long as they are equal, otherwise they must be reduced or converted. For example, let’s calculate the volume of a cylinder with a radius of 32mm and a height of 25cm. We can reduce everything to mm, so we will have: 25cm = 250mm. Now we calculate the volume V = 3.14.(32mm)2. 250mm = 803.840mm3.
- When you enter you will have the spaces in which you will enter the values of the radius of the base and the height of the cylinder, taking into account that both must be in the same unit(cm, dm, m, etc.). Finally you touch “ calculate ” and you will get the result. This result is only a number, the unit must be placed by you. For example, if the values entered were “cm” (unit of length), the result will be obtained in “ cm 3 ” (unit of volume).
- If you enter this site you can calculate the volume of the cylinder by entering the data: radius of the base and height of the cylinder expressed in “ m ” and, when you touch the “Calculate Cylinder Volume” button, you will get the result in “ m 3 ”. For example, if the radius is 15 cm, we express it in meters (0.15m), if the height is 38 cm (0.38m), the result will be: 03m 3
Tips for Calculating the Volume of a Cylinder
- Remember that if you want to calculate a volume, the measurements of the radius and the height of the body must be in the same unit, never mix units such as: centimeters and meters, both must be expressed in centimeters or meters.