
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
John and Sarah each have dogs as pets. John buys dog food in cylindrical containers that are 10 cm in diameter and 15 cm high. Sarah buys dog food in cylindrical containers that are 15 cm in diameter and 10 cm high. What is the ratio of the volume of one of John's containers to the volume of one of Sarah's containers?
**A)** $1:1$  
**B)** $2:3$  
**C)** $1:2$  
**D)** $3:2$  
**E)** $4:3$

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