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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.

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


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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