Question

The volume of the cylinder is approximately 7,959.9 cubic inches. The radius is ___ inches.Use π = 3.14.

Answer 1

The figure given is a cylinder.

The volume of a cylinder is given by the formula:

`V=\pi r^2h`

From the data given

The height is given to be 15 inches

The volume is also given to be 7,959.9 cubic inches

pi is 3.14

Upon substituting the values into the equation to solve for r, we will obtain

`\begin{gathered} 7959.9=3.14* r^2*15 \\ 7959.9=47.1r^2 \end{gathered}`
`(47.1r^2)/(47.1)=(7959.9)/(47.1)`

`r^2=169`
`\begin{gathered} r=\sqrt[]{169} \\ r=13\text{ inches} \end{gathered}`

Radius is 13 inches