Answer: [tex]5.02\ in^3[/tex]
Step-by-step explanation:
For this exercise you need to use the following formula to solve this exercise, which is used to calculate the voume of a cone:
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Where "r" is the radius and "h" is the height of the cone.
In this case, based on the information given the exercise, you can identify that:
[tex]r=2\ in\\\\h=1.2\ in[/tex]
Knowing those values, you can substitute them into the formula:
[tex]V=\frac{1}{3}\pi (2\ in)^2 (1.2\ in)[/tex]
Finally, evaluating, you get the following result:
[tex]V=5.02\ in^3[/tex]
Therefore, [tex]5.02\ in^3[/tex] will fit in the cone.
