A soccer ball has an interior diameter of 22 cm. How many cubic centimeters of air does a soccer ball
contain, rounded to the nearest tenth of a centimeter?​

A soccer ball has an interior diameter of 22 cm How many cubic centimeters of air does a soccer ballcontain rounded to the nearest tenth of a centimeter class=

Respuesta :

Answer:

Volume of soccer ball = 5,572.45 Cm³ (Approx)

Step-by-step explanation:

Given:

Diameter of soccer ball = 22 Cm

Radius of soccer ball = 22 Cm / 2 = 11 Cm

Find:

Volume of soccer ball = ?

Computation:

[tex]Volume\ of\ soccer\ ball = \frac{4}{3} \pi r^3\\\\ Volume\ of\ soccer\ ball = \frac{4}{3} \times\frac{22}{7} \times 11^3\\\\ Volume\ of\ soccer\ ball = 5,572.45332[/tex]

Volume of soccer ball = 5,572.45 Cm³ (Approx)

Therefore, Soccer ball contain 5,572.5 Cm³ of air.

The volume of air contained inside the soccer ball is [tex]5577.5cm^3[/tex]

A soccer ball is a sphere. The volume of air inside the ball will be the volume of the space inside the ball.

To get the internal volume, we need the internal radius. Since we are given the internal diameter = 22cm, the internal radius will be half of that, or 11cm.

Calculate the volume of air

The volume of a sphere is given by the formula

[tex]v=\dfrac{4}{3}\pi r^3[/tex]

we are finding the interior volume of the ball, since this is where the air is. Taking the value of [tex]\pi[/tex] as 22/7, and substituting the radius 11cm,

[tex]v=\dfrac{4}{3}\times\dfrac{22}{7}\times 11^3\\\\\approx5577.5cm^3\text{ (to the nearest tenth of a cm)}[/tex]

Learn more about the volume of a sphere here https://brainly.com/question/16924154