Question

What is the volume of the cylinder shown below rounded to the nearest tenth? Use 3. 14 for pi.

Answer 1

`\begin{equation*} 34.0\text{ cm}^3 \end{equation*}`

Step-by-step explanation

To find the volume of the cylinder, apply the formula:

`V=\pi r^2h`

where r = radius of the cylinder

h = height of the cylinder

The diameter of the cylinder is given.

The radius is half the diameter of the cylinder. This implies that the radius of the given cylinder is:

`\begin{gathered} r=(D)/(2)=(3.8)/(2) \\ \\ r=1.9\text{ cm} \end{gathered}`

Therefore, the volume of the cylinder is:

`\begin{gathered} V=3.14*1.9^2*3 \\ \\ V=34.0\text{ cm}^3 \end{gathered}`

That is the answer.