Question

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

Answer 1

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.

$V = \frac{4}{3}\pi r^{3}$

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

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

Start by simplifying the exponent.

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

So we have $(\frac{4}{3})(\pi)(64 units^3})$.

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 $\frac{256}{3} \pi units^{3}$.