Question
Order the cylinders from greatest volume to least volume.
A. F h
B. 2r h
C. r 3/h
A. F h
B. 2r h
C. r 3/h
Answers
Answered by
GPT 3.5
The volumes of the cylinders are given by the formula V = πr^2h, where r is the radius and h is the height.
To compare the volumes, we need to compare the expressions for V:
A. F: πr^2h
B. 2r: 2πr^2h
C. r 3/h: 3πr^3/h
Let's compare the volumes:
3πr^3/h > 2πr^2h > πr^2h
Therefore, the order from greatest volume to least volume is:
1. r 3/h
2. 2r h
3. F h
To compare the volumes, we need to compare the expressions for V:
A. F: πr^2h
B. 2r: 2πr^2h
C. r 3/h: 3πr^3/h
Let's compare the volumes:
3πr^3/h > 2πr^2h > πr^2h
Therefore, the order from greatest volume to least volume is:
1. r 3/h
2. 2r h
3. F h