Question

please help this is for my study guide thanks! (what is the radius)

Answer 1

We are given the following details

$\begin{gathered} \text{volume of the cube = }4019.2\text{ cubic centimeters} \\ \text{height}=20\operatorname{cm} \\ \pi=3.14 \end{gathered}$

To find the radius, we will make the radius, the subject of the formula from the equation:

$V=\pi r^2h$

$\begin{gathered} r^2=\frac{V}{\pi h} \\ \\ r=\sqrt[]{\frac{V}{\pi h}} \end{gathered}$

Substituting the values, we will obtain

$\begin{gathered} r=\sqrt[]{\frac{4019.2}{3.14\times20}}=\sqrt[]{64} \\ \\ r=\sqrt[]{64} \\ \\ r=8 \end{gathered}$

The radius of the cylinder 8.00