Volume of a Sphere

Previously we have discussed about add radicals calculator and In today's session we are going to discuss about Volume of a sphere, It is a three dimensional surface in which every point on the given surface is equidistance from a point.

Now we will see the formula for finding the volume of sphere, the formula for finding the volume of a sphere is:

        Volume = 4 ⊼r3, Where r represents a radius of a sphere.

                        3

Some condition of sphere is also realized that the volume of a sphere is exactly two thirds of the volume of its circumscribed cylinder, which is known as smallest cylinder which can contain the sphere. If we want to find the radius of a sphere using the above formula:

           r = 3√3v, where v denotes the volume of a sphere.

                     4⊼

And the value of ⊼ is 3.14;

If we want to find the volume of a sphere using diameter then we use the formula

        Volume = 4 ⊼ (d/2)3,

                        3  

Sphere is an object in the three dimensional space. Its shape is just like as a round ball.  And the maximum distance through the sphere is known as diameter of the sphere. Diameter is twice the radius of the sphere.

Now we see how to find the volume of the sphere using diameter, with the help of example.

Example: - Find the Volume of a Sphere where its diameter is 30 inches.

Solution: we know that the volume of a sphere is

                Volume = 4 ⊼r3

                                3

Here we have to find the radius of a sphere with the help of diameter.

We know that the radius is half of the diameter.

        r = diameter

                  2

So putting the diameter value in formula

        r = 30

               2

        r = 15;

And the value of ⊼ is 3.14

So putting all the values in the formula

Volume = 4 ⊼r3

                3

             = 4 * 3.14 * (15)3

                 3

            = 4 * 3.14 * 3375

                3

           = 42390

                  3

             = 14130 inch3

We get the volume of a sphere using the diameter is 14130 inch3.

Multiplication Worksheets is very important concept of mathematics, it is also available in cbse class 8 books.