Answer:
[tex]\dfrac{325}{3}\pi \text{ in}^3[/tex]
Step-by-step explanation:
The volume of a cone is given by the equation:
[tex]V = \dfrac{1}{3}\pi r^2 h[/tex]
where:
- [tex]\pi \approx 3.14159[/tex]
- [tex]r[/tex] = radius
- [tex]h[/tex] = height
Plugging in the given values, we get:
[tex]V = \dfrac{1}{3}\pi (5)^2 (13)[/tex]
[tex]V = \dfrac{1}3\pi(25)(13)[/tex]
[tex]\boxed{V = \dfrac{325}{3}\pi \text{ in}^3}[/tex]
[tex]\boxed{V \approx 340.34 \text{ in}^3}[/tex]
