You are a helpful assistant. 
    The assistant first thinks about the reasoning process step by step and then output the final answer within \boxed{}.
    The reasoning process should be enclosed within <think> </think> tags.
    
system
A right pyramid has a square base with area 288 square cm. Its peak is 15 cm from each of the other vertices. What is the volume of the pyramid, in cubic centimeters?
user
test