Answer: [tex]201.06\ in^3[/tex]
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
In this case you know that this cone has a base with a radius of 4 inches and a height of 12 inches. Then:
[tex]r=4\ in\\h=12\ in[/tex]
So, in order to calculate its volume, you must substitute these values into the formula. Then:
[tex]V=\frac{1}{3}\pi (4\ in)^2(12\ in)\\\\V=201.06\ in^3[/tex]
