A cylindrical container is packaged inside a prism-shaped box. The box has a volume of 96 cubic units. If the container has a diameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? Round the answer to two decimal places. A. 20. 60 cubic units B. 37. 77 cubic units C. 51. 27 cubic units D. 75. 40 cubic units.

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Option A: 20.60 cubic units

The volume of the empty space between the cylinder and the box is:

20.60 cubic units.

Given that:

  • Volume of prism-shaped box which contains the cylindrical container is 96 cubic units.
  • Height of cylindrical container is 6 units.
  • Diameter of cylindrical container is 4 units.

Explanation and calculation:

Volume of cylinder is:    [tex]\pi \times radius ^2 \times height[/tex] cubic units.

Radius( say r) is half the diameter, thus: Radius = 2 units.

Now let height be denoted by h and radius be denoted by r then we have;

Volume = [tex]\pi \times 4 \times 6[/tex] cubic units.

or

Volume of the cylinder = 75.398 cubic units.

Now Volume of the empty space between cylinder and the box = Volume of the box - Volume of the cylinder.

or say:

Volume of the empty space between cylinder and the box = 96 - 75.398

=  20.60 cubic units.

For more information, refer to this link below:

https://brainly.com/question/9067687

Answer:

20.60 cubic units

Step-by-step explanation:

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