A sphere is inscribed inside a hemisphere of radius 2.  What is the volume of this sphere?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A sphere is inscribed inside a hemisphere of radius 2.  What is the volume of this sphere?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{4}{3}\pi
A sphere is inscribed inside a hemisphere of radius 2.  What is the volume of this sphere?
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