You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
A stack of metal washers is placed on a flat surface. The top washer has an outside diameter of 10 cm and a thickness of 1 cm. Each subsequent washer below has an outside diameter that is 0.5 cm less than the washer directly above it, and each washer's thickness decreases by 0.1 cm from the one above. The smallest washer has an outside diameter of 2 cm. Determine the total height of the stack from the bottom of the bottom washer to the top of the top washer.
user
11.9
rule
A stack of metal washers is placed on a flat surface. The top washer has an outside diameter of 10 cm and a thickness of 1 cm. Each subsequent washer below has an outside diameter that is 0.5 cm less than the washer directly above it, and each washer's thickness decreases by 0.1 cm from the one above. The smallest washer has an outside diameter of 2 cm. Determine the total height of the stack from the bottom of the bottom washer to the top of the top washer.
train