Question

The volume of this cylinder is 4,082 cubic inches, and its height is 13 inches. What is the radius? (Use pi=3.14)

Answer 1

The radius is 10 inches.

Explanation:

Remember that the formula for the volume of a cylinder is:

`V=\pi r^2h`

Solving for the radius r, we'll get:

`\begin{gathered} V=\pi r^(2)h \\ \rightarrow r^2=(V)/(\pi h) \\ \\ \Rightarrow r=\sqrt{(V)/(\pi h)} \end{gathered}`

Since we know the volume and the height, we'll have that:

`\begin{gathered} \begin{equation*} r=\sqrt{(V)/(\pi h)} \end{equation*} \\ \\ \rightarrow r=\sqrt{(4082)/(3.14*13)} \\ \\ \Rightarrow r=10in \end{gathered}`