
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
An ancient Chinese mathematical classic, "Mathematical Treatise in Nine Sections", contains a problem related to measuring rain with a "Sky Pool Basin" during rainfall: The basin is frustum-shaped. The diameter of the basin's mouth is 28 inches, the diameter of the basin's bottom is 12 inches, and the basin's depth is 18 inches. If the accumulated water in the basin has a depth of 9 inches, then the rainfall on the ground is ______ inches. (Note: ① The rainfall on the ground equals the volume of the accumulated water in the basin divided by the area of the basin's mouth; ② One Chinese foot equals ten inches)

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