<u>Given</u>:
Given that the radius of the cone is 10 cm.
The height of the cone is 25 cm.
We need to determine the volume of the cone.
<u>Volume of the cone:</u>
The volume of the cone can be determined using the formula,
where r is the radius and h is the height of the cone.
Substituting r = 10 and h = 25, we get;
Simplifying, we have;
Multiplying, we get;
Dividing, we get;
Thus, the volume of the cone is 2616.67 cubic cm.
Hence, Option c is the correct answer.