Question

the 18pi threw me of pls help me on this

Answer 1

The circumference of a circle is given by the formula:

$C=2\pi r$

Since the circumference of this cylinder base is 18π, we can find its radius:

$\begin{gathered} 18\pi=2\pi r \\ r=\frac{18\pi}{2\pi}=9 \end{gathered}$

Now, in order to calculate the cylinder volume, we can use the formula:

$V=\pi r^2h$

Using r = 9, h = 30 and π = 3.14, we have:

$\begin{gathered} V=3.14\cdot9^2\cdot30 \\ V=7630.2 \end{gathered}$

So the correct option is H.