
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
A sphere with radius $R$ is intersected by two parallel planes. The radii of the two resulting circular cross-sections are $r_1=24$ cm and $r_2=15$ cm, and the distance between the two cross-sections is $d=27$ cm. Calculate the surface area of the sphere.

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