Question

Find the volume of this piece of cylinder with a radius of 6 and a height of 8

Answer 1

A cylinder is a type of prism. The volume of a prism is calculated using the formula:

`Volume=Base\text{ }Area* Height`

The area of a quadrant base is calculated using the formula:

`\begin{gathered} Base\text{ }Area=(\pi r^2)/(4) \\ where \\ r=radius \end{gathered}`

From the question, the following parameters are given:

`\begin{gathered} r=6 \\ h=8 \end{gathered}`

Therefore, the volume is calculated to be:

`\begin{gathered} V=(\pi*6^2)/(4)*8 \\ V=226.19 \end{gathered}`

The volume is 226.19 cubic inches.