Answer: [tex]65.44\ in^3[/tex]
Step-by-step explanation:
To calculate the volume of a cone you can use this formula:
[tex]V_{(cone)}=\frac{1}{3}\pi r^2h[/tex]
Where "r" is the radius and "h" is the height of the cone.
In this case you know that this cone has a height of 2.5 inches and a radius of 5 inches. Then:
[tex]h=2.5\ in\\r=5\ in[/tex]
Finally, you need to substitute these values into the formula. Then you get that the volume of the cone is:
[tex]V_{(cone)}=\frac{1}{3}\pi (5\ in)^2(2.5\ in)\\\\V_{(cone)}=65.44\ in^3[/tex]
