範例 11:古代的水鐘  
 

古代的水鐘,從一碗中漏水,碗底小孔的半徑為γ(常數),以水面的高度判斷時間,現在希望時間的流逝和水面高度的降低成正比,請問,碗的形狀為何?

 
  《 解答 》  
 

假設,碗是一個旋轉面,由之前的托里切利定律

但是(是小於零的常數)

,∴對 y 軸旋轉得到的旋轉面。

 

 
 
 
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