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

Question

Responses

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

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

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.

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.

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 both have parallel and congruent bases.

Answer 1

The three characteristics that are true of a cone and a cylinder are:

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

The first characteristic correctly states that both shapes are three-dimensional. The second characteristic indicates that both have a circular base, which is true for both cones and cylinders. The third characteristic is also accurate; a cylinder with a given radius and height can hold three cones of the same dimensions due to the differences in volume between the two shapes.