A tank in the shape of a cylinder with a diameter of 2.4 m and height 6.4 m contains oil up to the brim. Find the number of complete smaller cylindrical containers, each with a base radius of 8.2 cm and height 28 cm, that can be completely filled using the oil from the tank?

To determine the number of smaller containers that can be filled, we must calculate the volume of both the large tank and the small containers, ensuring consistent units.

• Large Tank: Diameter = 2.4 m = 240 cm, so Radius (R) = 120 cm. Height (H) = 6.4 m = 640 cm. Volume = π * R² * H = π * (120)² * 640 = 9216000π cm³.
• Small Container: Radius (r) = 8.2 cm. Height (h) = 28 cm. Volume = π * r² * h = π * (8.2)² * 28 = 1882.72π cm³.
• Number of Containers: Divide the large tank's volume by the small container's volume: (9216000π) / (1882.72π) ≈ 4895.19.

Since only complete containers can be filled, the answer is 4895. The 'm³' unit in the option is a mislabeling, as the question asks for a count.