Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder (), measured in cubic centimeters, minus the volume of the prism (), measured in cubic centimeters. That is:
(1)
(2)
Where:
- Diameter of the cylinder, measured in centimeters.
- Side of the square prism, measured in centimeters.
- Height of the square prism, measured in centimeters.
If we know that , and , then the volume of the cylinder without the prism is:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.