<|system|>
If $h(x) = \sqrt{\frac{x^3+72}{2}}+1$, what is the value of $h(6)$?</s>.
<|user|>
Can you answer based on context?
<|assistant|>
We have $h(6) = \sqrt{\frac{6^3+72}{2}}+1 = \sqrt{\frac{216+72}{2}}+1 = \sqrt{144}+1 = 12+1 = 13$.