Question

Hello. I think where I messed up was converting this to cubic feet

Answer 1

In order to calculate the volume of a cone, we can usethe formula blelow:

$V=\frac{1}{3}\pi r^2h$

Where r is the base radius and h is the cone's height.

So, using the given values, we have:

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot49^2\cdot62\\ \\ V=155808.89\text{ m^^b3} \end{gathered}$

Then, if 1 meter is equal to 3.2808 ft, the conversion to cubic foot is given by:

$155808.89\cdot(3.2808)^3\text{ ft^^b3}=5,502,138.41\text{ ft^^b3}$

Therefore the correct option is the fourth one.