Question

what the closest volume of a cylinder with a height of 10 and a circumference of 8

Answer 1

In order to calculate the volume of a cylinder, we can use the following formula:

$V=\pi r^2h$

Where r is the base radius and h is the height.

If the circumference is 8, we have:

$\begin{gathered} C=2\pi r \\ 8=2\pi r \\ r=\frac{4}{\pi} \end{gathered}$

Now, calculating the volume, we have:

$\begin{gathered} V=\pi(\frac{4}{\pi})^2\cdot10 \\ V=\frac{160}{\pi} \\ V=50.93 \end{gathered}$

So the correct option is the second one.