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What characteristics are true of a cone and a cylinder? Select THREE that apply.(3 points)
They are both 3 dimensional solids.
A cone has 2 dimensions because it comes to a point and a cylinder has 3 dimensions.
They both have a circular base.
They both have the same volume if the radius and the height are the same.
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.
They both have parallel and congruent bases.
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All Answers 1
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Correct choices:
- They are both 3 dimensional solids. — True. Both cone and cylinder are 3D solids (have volume).
- They both have a circular base. — True. A right cone has one circular base; a (right) cylinder has circular bases.
- 3 cones would fit inside a cylinder with the same radius and same height. — True. Volume(cone) = (1/3)πr²h, volume(cylinder) = πr²h, so 3 cones = 1 cylinder.
The other statements are false for the reasons above (a cone is 3D, their volumes differ by a factor of 3, a cone has only one base, etc.).
- They are both 3 dimensional solids. — True. Both cone and cylinder are 3D solids (have volume).
- They both have a circular base. — True. A right cone has one circular base; a (right) cylinder has circular bases.
- 3 cones would fit inside a cylinder with the same radius and same height. — True. Volume(cone) = (1/3)πr²h, volume(cylinder) = πr²h, so 3 cones = 1 cylinder.
The other statements are false for the reasons above (a cone is 3D, their volumes differ by a factor of 3, a cone has only one base, etc.).
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