Explanation
We are told to find the volume of a cone with a radius of 10 inches and a height of 12 inches
To do so, we will use the formula
[tex]Volume=\frac{1}{3}\times\pi\times r^2\times h[/tex][tex]\begin{gathered} where \\ radius=r=10inches \\ height=h=12inches \end{gathered}[/tex]Thus, the volume will be
[tex]Volume=\frac{1}{3}\times\pi\times10^2\times12=\frac{100\times12}{3}\times\pi=400\pi\text{ in}^3[/tex]