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What is the volume of a sphere with a radius of 4

User Lordbalmon
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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.


V = (4)/(3)\pi r^(3)

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

So plugging into the formula, we have
((4)/(3))(\pi)(4 units)^(3).

Start by simplifying the exponent.

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

So we have
((4)/(3))(\pi)(64 units^3}).

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
(256)/(3) \pi units^(3).

User Siddharth Trikha
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