
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
In a cylinder with a height of 15 cm and a radius of 9 cm, a cone and a sphere are placed inside. The cone has the same radius as the cylinder and a height of 5 cm. The sphere has a diameter equal to the cylinder's radius. Find the ratio of the combined volume of the cone and sphere to the volume of the cylinder.

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