Step-by-step explanation:
First, we need to know the formula for finding the volume of a cone.
[tex]V = \frac{1}{3} \pi r^2h[/tex]
[tex]V=volume\\r=radius\\h=height[/tex]
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.
[tex]V=\frac{1}{3} \pi (10)^2(25)[/tex]
[tex]V=\frac{1}{3} \pi (100)(25)[/tex]
[tex]V=\frac{1}{3} \pi (2500)[/tex]
[tex]V=2616.6666...[/tex]
[tex]V = 2616.67[/tex]
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.
