Question

To find the volume of a Cylinder, we would use this formula: V = pi r2 h. We would need to know 3 dimensions to find the volume. (False, a cylinder is 3 dimensional with 2 of the dimensions being the same; True, a cylinder is 3 dimensional with 3 different dimensions)

Answer 1

The statement regarding the dimensions of a cylinder is **False**. A cylinder is indeed a three-dimensional shape, but it has three distinct parameters: the radius (r) of the base, the height (h), and the volume (V) is calculated using these parameters. Although the base of the cylinder is circular and has only one radius dimension, the height adds a third dimension. Thus, to calculate the volume, we need the radius and the height, but they represent different dimensions.

So, the correct interpretation is that a cylinder has:
- 1 dimension for the radius (which applies to both the top and bottom base since they are the same),
- and 1 dimension for height.

This makes it effectively 2 different dimensions used in the formula for calculating volume.