Chapter 1.1, Problem 29PPS

To determine

To express: the given verbal expression into algebraic expression.

Answer to Problem 29PPS

  $V=\pi r^{2}h$ .

Explanation of Solution

Given:

The given verbal expression is “The volume of the cylinder is $\pi$ times the radius $r$ squared multiplied by the height $h$ for the volume”.

Calculation:

As the given verbal expression is “the volume of the cylinder is $\pi$ times the radius $r$ squared multiplied by the height $h$ for the volume”.

Therefore, $\pi$ times the radius $r$ squared is written as $\pi r^2$ .

And multiplied the above expression by h is written as $\pi r^{2}h$ .

Hence, the algebraic expression of volume of the cylinder is $V=\pi r^{2}h$ .