Explanation:
First, we need to know the formula for finding the volume of a cone.
![V = (1)/(3) \pi r^2h](https://img.qammunity.org/2021/formulas/mathematics/high-school/et61sn8x5jgz65m26hhymawoqd6ess2o.png)
![V=volume\\r=radius\\h=height](https://img.qammunity.org/2021/formulas/mathematics/middle-school/me2u8yp32krb1yv8vdr5i7p8tjli0ukohd.png)
Now that we know the formula for finding the volume of a cone, we can look at the given information from the diagram and plug them into the formula.
![V=(1)/(3) \pi (10)^2(25)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/13jso754rnbuh9ysnslaxplxxo7jfryi5p.png)
![V=(1)/(3) \pi (100)(25)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hpyk6num18cccxb3pn742wwy8kttjs57pa.png)
![V=(1)/(3) \pi (2500)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mf33w1rxw4m962y0l7uhpjayspiofoaj0m.png)
![V=2616.6666...](https://img.qammunity.org/2021/formulas/mathematics/middle-school/w6wz0pf76r3mygjczsj3aiagr9ycumml2q.png)
![V = 2616.67](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t45z1eyzioptrolwqh2u38xy00bzwhvnt9.png)
Lastly, add the measurement units to the final answer which is cm³.
With that being said, the volume of the cone is 2616.67 cm³ which is letter choice C.