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

Question

asked Feb 22, 2023 93.4k views

1 Answer

Kyla · Answer 1 · 2023-02-26T06:02:30+0000

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:

$V=\pi r^2h$

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

Substituting the values, we will obtain

$\begin{gathered} r=\sqrt[]{(4019.2)/(3.14*20)}=\sqrt[]{64} \\ \\ r=\sqrt[]{64} \\ \\ r=8 \end{gathered}$

The radius of the cylinder 8.00