Respuesta :
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