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.

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.

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

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

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

Answer 1

The three characteristics that are true of a cone and a cylinder from the options provided are:

1. They are both 3 dimensional solids.

   • Both shapes occupy space in three dimensions.

2. They both have a circular base.

   • A cone has a circular base, and a cylinder also has a circular base.

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

   • The volume of a cone is one-third that of a cylinder when they have the same radius and height, meaning that three cones can fit inside one cylinder under these conditions.

The other options are not accurate in regard to the properties of cones and cylinders.