
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the ratio of the volume of the cone to the volume of the cylinder, given that the height of the cylinder is 10 units and the height of the cone is 5 units. Both the cylinder and the cone have a radius of 5 units. Express your answer as a common fraction.

Present the answer in LaTex format: \boxed{Your answer}
user