Answer :

TheBlueFox

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

[tex]V = \frac{4}{3}\pi r^{3}[/tex]

Here, we are given that our sphere has a radius of 4 units.

So plugging into the formula, we have [tex](\frac{4}{3})(\pi)(4 units)^{3}[/tex].

Start by simplifying the exponent.

(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.

So we have [tex](\frac{4}{3})(\pi)(64 units^3})[/tex].

Next, we multiply (4/3)(64) which can

be thought of as (4/3)(64/1)

So multiplying across the numerators and across the denominators,

we have [tex]\frac{256}{3} \pi units^{3}[/tex].

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