If $h(x) = \sqrt{\frac{x^3+72}{2}}+1$, what is the value of $h(6)$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $h(x) = \sqrt{\frac{x^3+72}{2}}+1$, what is the value of $h(6)$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
13
If $h(x) = \sqrt{\frac{x^3+72}{2}}+1$, what is the value of $h(6)$?
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