# Given (4/3)*pi*r^3, evaluate when r = 6.

## Question:

Given {eq}\frac{4}{3} \pi r^3 {/eq}, evaluate when {eq}r = 6 {/eq}.

## Evaluating Expressions

When we are evaluating an expression containing a random variable for a specific value of the variable, we put the specific value into the expression and then calculate the expression's value how we normally calculate the value of numerical expressions.

## Answer and Explanation:

To evaluate the expression when the random variable r takes the value 6, we need to replace r with 6 in the expression given. This is done as follows.

\begin{align} &\frac{4}{3} \pi *6^3\\ =&\frac{4}{3}\pi *216\\ =&288\pi \end{align}