Table of Contents
- 1 Does a cylinder and a cone with the same height have a same volume?
- 2 What is the relationship between a cone and cylinder with the same radius and height?
- 3 Which statement correctly describes the relationship between a cylinder and a cone?
- 4 What is the formula of a cylinder and a cone?
- 5 What is the relationship between the volume of a cone and the volume of a cylinder?
- 6 What is the ratio of the cone to cylinder?
- 7 What is the relationship between a sphere cone and cylinder?
Does a cylinder and a cone with the same height have a same volume?
If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder.
What is the relationship between a cone and cylinder with the same radius and height?
In a similar way, the volumes of a cone and a cylinder that have identical bases and heights are proportional. If a cone and a cylinder have bases (shown in color) with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.
What is the ratio of the volume of a cone and cylinder of same radius of base and same height?
A cylinder and a cone are of the same base radius and of same height. Find the ratio of the volume of cylinder to that of the cone. Let r be the base radius and h be the height. Hence, the required ratio is 3 : 1.
Which statement correctly describes the relationship between a cylinder and a cone?
The cone has a volume that is equal to the volume of the cylinder. The cone has a voulme that is three times greater than the volume of the cylinder.
What is the formula of a cylinder and a cone?
Volume of a Cone vs Cylinder
| The volume of a cylinder is: | π × r2 × h |
|---|---|
| The volume of a cone is: | 1 3 π × r2 × h |
What is the relationship between the formula of a cylinder and cone?
Both shapes have the same size bases and heights. They must understand how the formula connects to the modeling and/or demonstration (i.e. if it takes the volume of 3 cones to fill a cylinder with the same base and height the formula for the cone is one-third the volume of the cylinder.
What is the relationship between the volume of a cone and the volume of a cylinder?
The volumes of a cone and a cylinder are related in the same way as the volumes of a pyramid and a prism are related. If the heights of a cone and a cylinder are equal, then the volume of the cylinder is three times as much as the volume of a cone.
What is the ratio of the cone to cylinder?
3 to 2
The ratio of cylinder volume to cone volume is 3 to 2.
Which statement best describes the relationship between the volume of a cone and a cylinder that have congruent bases and heights?
Which statement best describes the relationship between the volume of a cone and a cylinder that have congruent bases and heights? The cone has a volume that is equal to the volume of the cylinder.
What is the relationship between a sphere cone and cylinder?
The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h. This song’s hook makes these formulas easy to remember.