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

5575 cm³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  If we substitute r = (d/2 where r is the radius and d the diameter), this formula becomes:

                                        πd³

V = (4/3)π·d³/8, or V =

                                           6

and so, if d = 22 cm, the volume is:

        π(22 cm)³

V = = 5575 cm³

              6

Volume of soccer ball = 4/3πr³

[Plug the value of r = d/2]

Now, Volume = 4/3π(d/2)³

Volume = 4/3πd³/8

= πd³/6

= 22 × 22³/7 × 6

= 234256/42

= 5,577.5cm³ or 5578cm³ approx.

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.