Lv 5
發問時間: 科學數學 · 6 年前

03.A circular cylinder of rad

Acircular cylinder of radius 12cm floats in water with its axis horizontal. Thehighest point of a circular section is 6cm above the water level. What fractionof the volume of the cylinder is immersed? Answer correct to 3 significantfigures.

2 個解答

評分
  • 麻辣
    Lv 7
    6 年前
    最佳解答

    ΔOAB: O=center, AB=water lineOA=OB=12cmAB=12√3cm∠AOB=120°=> ΔOAB=0.5*12*12*sin120°=36√3V(immerse)/V(circle)=(SemiCircle+ΔOAB)/Circle=(72π+36√3)/144π=(2π+√3)/4π

    2014-10-29 16:47:57 補充:

    補充漏失的60度扇形:

    Vi/Vc=(72π+24π+36√3)/144π

    =(8π+3√3)/12π

    =0.805

  • 匿名使用者
    6 年前
還有問題?馬上發問,尋求解答。