Chapter 12, Problem 8CT

To determine

To find: The volume of the cylinder.

Answer to Problem 8CT

The volume of the cylinder is $\text{144π}{\text{cm}}^3$ .

Explanation of Solution

Given information: Radius and height of the cylinder are $6\text{cm}$ and $4\text{cm}$ respectively.

Calculation:

A cylinder with radius $6\text{cm}$ and height $4\text{cm}$ .

The formula for volume of a cylinder with radius and height is:

  $V=\text{π}{r}^{2}h$

Substitute $6\text{cm}$ for $r$ and $4\text{cm}$ for $h$ in the formula.

  $\begin{array}{c}V=\text{π}\cdot \left(\text{6}{\text{cm}}^2\right)\cdot \left(\text{4}\text{cm}\right)\\ =\text{π}\cdot 3\text{6}{\text{cm}}^2\cdot \text{4}\text{cm}\\ \text{=144π}{\text{cm}}^3\end{array}$

Therefore, the volume of the cylinder is $\text{144π}{\text{cm}}^3$ .