VOLUME OF CYLINDERS PRACTICE
i got 3/5 but here are the correct answers for anyone who is struggling.
1. 1,406.72
2. 351.68
3. 169.56
4. 226.08
5. 7200
To provide additional context for anyone attempting to practice or check their work on calculating the volumes of cylinders, let's explain how these answers are derived. The volume of a cylinder can be calculated using the formula:
Volume = π × r² × h
where r is the radius of the base of the cylinder and h is the height of the cylinder. π (pi) is a constant approximately equal to 3.14159.
Based on the answers provided, it looks like each one uses different values for the radius and height. Let's try to reconstruct possible radius and height values for each of these solutions:
1. Volume = 1,406.72 cubic units:
Let's assume h is given and r needs to be solved or vice versa:
\( V = πr^2h \)
If we don't have specific values for r and h, we can't provide a unique solution, only the formula and the relationship between r and h.
2. Volume = 351.68 cubic units:
Here again, we need at least one value for r or h to find the other.
3. Volume = 169.56 cubic units:
As with the previous ones, specific radius and height values are not included, so we can't construct the exact cylinder.
4. Volume = 226.08 cubic units:
The same applies here; we need at least the radius or the height.
5. Volume = 7200 cubic units:
Without the specific r or h, we can't reconstruct the problem.
To actually determine the radius and height values, one would have to know at least one of the two dimensions or the relationship between them to reverse-engineer these specific volumes from the answers provided. If you have additional information on the dimensions, please provide them, and I can demonstrate how to solve for the volume of each cylinder accordingly. Otherwise, these answers appear as final results of volume calculations without context.