Question

You are constructing a concrete landing pad for a helicopter. You have 2916 cubic feet of concrete. if you want to use the concrete to build a circular landing pad with the same thickness as the square landing pad, what would the diameter of that landing pad be?

Answer 1

Explanation

Volume 2916 cubit feet

Landing pad square 54 feet each side

Part A

`\begin{gathered} V=54*54*h \\ 2916=54*54*h \\ h=(2916)/(54*54) \\ h=1\text{ feet } \end{gathered}`

Part B

`\begin{gathered} V=\pi r^2h \\ r=\sqrt{(V)/(\pi h)} \\ r=\sqrt{(2916)/(3.14*1)} \\ r=30.47\text{ feet} \end{gathered}`

The diameter would be 60.94 feet