Question

The volume of this cylinder is approximately 416,992 cubic inches.The height is ___ inches.Use π = 3.14.

Answer 1

We have that the equation to find the volume of a cylinder is:

`V=\pi r^2h`

in this case, we have the following information:

`\begin{gathered} V=416992in^3 \\ r=40in \\ \pi=3.14 \end{gathered}`

then, using these values on the formula and solving for h, we get:

`\begin{gathered} 416992=(3.14)(40)^2\cdot h \\ \Rightarrow h=(416992)/(3.14(40)^2)=83 \\ h=83in \end{gathered}`

therefore, the height of the cylinder is 83 inches