Question

The base figure is rectangle with area= lxw which is multiplied by the height to get the volume of figure

Answer 1

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;

`\begin{gathered} \text{Base area}=Area\text{ of a circle} \\ \text{Base area}=\pi r^2 \end{gathered}`

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;

`\begin{gathered} \text{Volume}=\pi r^2* h \\ \text{Volume}=\pi r^2h \end{gathered}`

ANSWER:

`\text{Volume}=\pi r^2h`