03.A circular cylinder of rad
2014-10-29 8:27 pm
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.
回答 (2)
2014-10-29 9:25 pm
✔ 最佳答案
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)/4π2014-10-29 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
2014-11-07 8:29 am
收錄日期: 2021-04-30 19:18:15
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20141029000016KK01898