
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
Three identical cones with radius 10 cm and height 15 cm are enclosed within a cylinder. The base of each cone is a base of the cylinder, and the height of the cylinder is 30 cm. What is the number of cubic centimeters in the volume of the cylinder not occupied by the cones? Express your answer in terms of \(\pi\).

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