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?

  • A. 4895 m³
  • B. 92160 m³
  • C. 4795 m³
  • D. 4761 m³

Correct Answer: 4895 m³

Find the volume of the larger tank:
Radius of the larger tank = Diameter / 2 = 2.4 m / 2 = 1.2 m
Volume of a cylinder = π * radius² * height
Volume of the larger tank = π * (1.2 m)² * 6.4 m
Volume of the larger tank ≈ 28.94 m³
2. Find the volume of the smaller containers:
Radius of the smaller container = 8.2 cm / 100 = 0.082 m
Height of the smaller container = 28 cm / 100 = 0.28 m
Volume of a smaller container = π * (0.082 m)² * 0.28 m
Volume of a smaller container ≈ 0.00059 m³
3. Calculate the number of smaller containers:
Number of containers = Volume of larger tank / Volume of smaller container
Number of containers ≈ 28.94 m³ / 0.00059 m³
Number of containers ≈ 49050.84
4. Since we can only have whole containers:
Number of complete smaller containers = 49050
Therefore, approximately 49050 smaller cylindrical containers can be completely filled using the oil from the larger tank.

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