<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 We fill a graduated cylinder with a diameter of $2.9 \mathrm{~cm}$ with water up to a height of $4 \mathrm{~cm}$. Then, we place solid copper cubes with an edge length of $2 \mathrm{~cm}$ into the cylinder. What is the maximum number of cubes that can be submerged in the water in the cylinder? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
5
We fill a graduated cylinder with a diameter of $2.9 \mathrm{~cm}$ with water up to a height of $4 \mathrm{~cm}$. Then, we place solid copper cubes with an edge length of $2 \mathrm{~cm}$ into the cylinder. What is the maximum number of cubes that can be submerged in the water in the cylinder?
test