Finding the volume of a ball: formula and tasks

In this publication, we will look at how you can find the volume of a ball and analyze examples of solving problems to fix the material.

Content

The formula for calculating the volume of a ball

1. Through the radius

The volume (V) of a sphere is equal to four-thirds of the product of its cubed radius and the number π.

Finding the volume of a ball: formula and tasks

Finding the volume of a ball: formula and tasks

Note: in calculations the value of the number π rounded up to 3,14.

2. Through diameter

The diameter of a sphere is equal to two of its radii: d = 2R. So, the formula for calculating the volume can look like this:

Finding the volume of a ball: formula and tasks

Examples of tasks

Task 1

Calculate the volume of a sphere if its radius is 3 cm.

Decision:

Applying the first formula (through the radius) we get:

Finding the volume of a ball: formula and tasks

Task 2

Find the volume of a sphere if its diameter is known to be 12 cm.

Decision:

We use the second formula, in which the diameter is involved:

Finding the volume of a ball: formula and tasks

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