Final answer:
To calculate the volume of a cone with a radius of 8.2 meters and a height of 12 meters, you apply the formula V = (1/3)πr²h. After performing the necessary calculations, the volume is found to be approximately 844 cubic meters when rounded to the nearest cubic meter.
Step-by-step explanation:
The question asks for the volume of a cone with a given base radius and height.
To find the volume of a cone, we use the formula V = (1/3)πr²h, where π is Pi (approximately 3.14), r is the radius of the base of the cone, and h is the height of the cone.
Plugging in the given values, the radius r = 8.2 meters and the height h = 12 meters, we get:
V = (1/3)π(8.2 m)²(12 m)
V = (1/3)×3.14×(67.24 m²)×12 m
V = (1/3)×3.14×806.88 m³
V = (1/3)×2533.2752 m³
V = 844.42507 m³
After rounding to the nearest cubic meter, we get V = 844 m³.