How To Calculate The Volume Of A Sphere

It is good to start by clarifying the, since you make the mistake of confusing them and calling each one by the wrong name.

A sphere is a round, solid figure that has a surface on which each point is equidistant from its own center. Therefore, it is a round figure that must have volume and have a three-dimensional shape. Balls, balloons or billiard balls are spheres. The sphere is the figure that has the smallest surface area due to its fixed amount of volume, you can observe this by inflating a balloon that is spherical, it will try to contain a lot of air with the smallest surface area possible.

While the circle is a round but flat figure. The circumference is made up of points parallel to a fixed point in the center, that is, this figure, being flat, has only two dimensions. In other words, it is a closed curve and is known as a disk. The coins and flat plates are made in the shape of a circle, so that you have a clearer idea with real shapes.

And what is the volume?: The volume is the average space that a body occupies, it is what determines the size of an object, that is, the volume is what identifies the physical magnitude of an object taking into account its 3 dimensions (width, length and height). The volume is measured by cubic meters (m3), there are several ways to measure a volume: that of a liquid that can be done by means of a test tube, that of irregular solids in which methods of immersion in water are used and for There are mathematical formulas for geometric solids, which is what we will focus on in this article.

With these concepts clear, we will explain below how to calculate the volume of a sphere. To be able to do this we must have some data such as the diameter or the surface area, if you already have the radius it will be even easier to get the volume.

What do you need to calculate the volume of a sphere?

• Eager to learn and enjoy the wonderful world of mathematics
• Calculator
• Pencil and paper

Instructions to calculate the volume of a sphere

1. This is the formula used to calculate the volume of a sphere: V = ⁴⁄ ₃πr³.
   V= volume of the sphere
   r= radius of the sphere.
   π = 3.141592. (pi)
2. If you don’t have the radius of the sphere it is the first thing to find: divide the diameter by 2 and you will get the radius and if you have only been given the area of ​​the surface of the sphere you can find the radius by finding the root of the area of ​​the sphere. surface and later dividing by 4π, the formula would be the following: r = root (surface area/4π). If from the beginning you have given the radius you should skip this step.
3. Before starting to calculate the volume, it is important that you keep in mind that you must first do the powers and then the multiplications.
4. To have more clarity in the explanations, we are going to assume that said radius gave us 2 cm.
5. You must raise the radius to the cube, to do so, raise it to the third power 2 ³(2x2x2) which will give the result 8. It is multiplying it by itself 2 times. Taking the radius, which in this case is 2³, the formula would look like this : V=⁴⁄₃ π2³. Once the radius is raised, it should look like this : V = ⁴⁄ ₃ π x 8.
6. Now change the pi to its value in order to understand the easier formula V = ⁴⁄ ₃(3.1416) (8).
7. We multiply the pi by 8, leaving the formula like this: V = ⁴⁄ ₃(25.13)
8. Now you must multiply the fraction by 25.13 To be able to multiply a fraction with an integer or natural number you can convert the natural or decimal number into a fraction by putting a 1 below it, then we would have 4/3 x 25.13/1. If you don’t remember how to multiply fractions, you must first multiply the denominators, that is, 4 x 25.13 = 100.52 and then the denominators, that is, 3 x1= 3, we will have 100.52/3.
9. Now divide 100.52/3= 33.50 cm3 that is the volume of a sphere whose radius is 2.

Tips for calculating the volume of a sphere

• Practice with different measures of radius and find the volume of the spheres.
• When you do this operation, do not forget to put the cm3 in your final result, since it will always be a result in cubic measure.
• Be careful with the units of measurement that they give you to do the calculations, if they are centimeters, inches, etc. If the measurements that have been given to you do not have the same unit, you must convert them so that they all remain in the same unit.
• With concentration you will see that they are very easy formulas to make and with practice it will become easier and easier.