To calculate the volume of a figure just as explained we calculate the base area and then "stretch," that is, multiply it by the height to get the volume of the three-dimensional figure.
An example has been given of a box.
Now to calculate the volume of a cylinder, we start by following the same procedure as follows;
[tex]\begin{gathered} \text{Base area}=Area\text{ of a circle} \\ \text{Base area}=\pi r^2 \end{gathered}[/tex]
Note that the circle which is the base is the same at both ends of a cylinder, hence we simply stretch, that is multiply this by the height.
Therefore the volume of a cylinder is given by the formula;
[tex]\begin{gathered} \text{Volume}=\pi r^2\times h \\ \text{Volume}=\pi r^2h \end{gathered}[/tex]
ANSWER:
[tex]\text{Volume}=\pi r^2h[/tex]
