Final answer:
The volume of a cylinder with a radius of 17.8 m and a length of 6.4 m, when calculated using the formula V = πr²h and rounded to one decimal place is 18095.7 m³. Answer choice B) 18095.7 m³ is the correct option.
Step-by-step explanation:
To calculate the volume of a cylinder, we use the formula V = πr²h where V is the volume, r is the radius, and h is the height of the cylinder. Plugging in the given values, the radius is 17.8 m, and the height (length) is 6.4 m. First, calculate the area of the base (circle) using the radius, and then multiply by the height to find the volume.
V = π × (17.8 m)² × 6.4 m
When you perform this calculation:
V = 3.1415927... × 316.84 m² × 6.4 m
V ≈ 18095.652352 m³
When rounded to one decimal place, the volume of the cylinder is approximately 18095.7 m³. So the correct option, in this case, would be B) 18095.7 m³.