Cylinder horizontally

The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the axis of the cylinder. How many hectoliters of water is in the cylinder?

Correct result:

V =  267.5273 hl

Solution:

D=3 m R=D/2=3/2=32=1.5 m L=15 m r=60/100=35=0.6 m h=Rr=1.50.6=910=0.9 m S1=R2 arccos(r/R)=1.52 arccos(0.6/1.5)2.6084 m2 S2=r 2 R hh2=0.6 2 1.5 0.90.920.8249 m2 S=S1S2=2.60840.82491.7835 m2 V1=L S=15 1.783526.7527 m3 V=V1 hl=V1 10  hl=26.7527 10  hl=267.527 hl=267.5273 hl



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