
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
One-and-a-half-liter mineral water bottles are narrowed in the shape of an "hourglass" to make them easier to grip. The normal circumference of the bottle is $27.5 \mathrm{~cm}$, while at the waist - which is a $1 \mathrm{~cm}$ tall cylindrical section - it is only $21.6 \mathrm{~cm}$. The cylindrical sections with different circumferences are connected above and below the waist by truncated cone sections each $2 \mathrm{~cm}$ high. How much taller are such bottles compared to their regular counterparts with the same volume and normal circumference, but without the narrowing?

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