Answer :
Final answer:
To calculate the exact volume of a half cylinder, one must first find the volume of a full cylinder using the formula V = πr²h and then divide by two. If the full cylinder volume is 600 π in³, the half cylinder volume would be 300 π in³.
Explanation:
The question of what is the exact volume of a half cylinder can be solved by first calculating the volume of a full cylinder and then halving that value. The general formula for the volume of a cylinder is V = πr²h, where π represents the constant (~3.14159), r is the radius, and h is the height of the cylinder. If you were given the measurements of the radius and the height or the full volume of a cylinder, you would simply divide the full volume by two to find the volume of half of the cylinder. For example, if the full cylinder had a volume of 600 π in³, then the volume of the half cylinder would be 300 π in³.
It's important to note that some information provided in the references doesn't directly apply to calculating the volume of a half cylinder. For instance, the volume of a sphere or the concepts of density and dimensional analysis are separate topics that do not contribute to solving the half cylinder volume problem.
