Finding the Radius of a Ball: Formula and Examples

In this publication, we will look at how you can calculate the radius of a ball and analyze examples of solving problems for fixing the material.

Content

Formulas for calculating the radius of a ball

Finding the Radius of a Ball: Formula and Examples

1. Через объем

Радиус шара вычисляется по формуле:

Finding the Radius of a Ball: Formula and Examples

V – объем шара; равен трем четвертым произведения его радиуса в кубе и числа π.

Finding the Radius of a Ball: Formula and Examples

π – a number whose approximate value is 3,14.

2. Through surface area

The radius of the ball is calculated as follows:

Finding the Radius of a Ball: Formula and Examples

S is the surface area of ​​the sphere; is equal to four of its radii squared multiplied by the number π.

S = 4πR2

Examples of tasks

Task 1

The volume of the ball is 904,32 cm3. Find its radius.

Decision:

Using the first formula, we get:

Finding the Radius of a Ball: Formula and Examples

Task 2

Вычислите радиус шара, если площадь его поверхности равна 314 см2.

Decision:

In this case, you can calculate the radius of the ball by applying the 2nd formula (through the surface area):

Finding the Radius of a Ball: Formula and Examples

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