Final answer:
The volume of the cone can be found using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height. Substituting the given values, the volume of the cone is 261.43 cubic meters.
Step-by-step explanation:
To find the volume of a cone, we can use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height. Given that the radius is 5 m and the height is 10 m, we can substitute these values into the formula: V = (1/3) × 3.14 × (5 m)² × 10 m. Simplifying this expression, we get V = 261.43 cubic meters. Therefore, the correct answer is option a) 261.43 cubic meters.