What characteristics are true of a cone and a cylinder? Select THREE that apply.(3 points)

Responses

3 cones would fit inside a cylinder with the same radius and same height.
3 cones would fit inside a cylinder with the same radius and same height.

2 cylinders would fit inside of 1 cone with the same height and same radius.
2 cylinders would fit inside of 1 cone with the same height and same radius.

They both have the same volume if the radius and the height are the same.
They both have the same volume if the radius and the height are the same.

They both have a circular base.
They both have a circular base.

They are both 3 dimensional solids.
They are both 3 dimensional solids.

They both have parallel and congruent bases.
They both have parallel and congruent bases.

A cone has 2 dimensions because it comes to a point and a cylinder has 3 dimensions.

1 answer

The following statements are true for both a cone and a cylinder:

  1. They both have a circular base.
  2. They are both 3-dimensional solids.
  3. 3 cones would fit inside a cylinder with the same radius and same height.

The other statements are either incorrect or do not apply. For example, the statement about volume is also incorrect; a cone has one-third the volume of a cylinder when both have the same height and radius.