Vintner

How high can vintner fill keg with crushed red grapes if these grapes occupy a volume of 20 percent? Keg is cylindrical with a diameter of the base 1 m and a volume 9.42 hl. Start from the premise that says that fermentation will fill the keg (the number П equals 3.14).

Correct result:

h =  0.2399 m

Solution:

D=1 r=D/2=1/2=12=0.5 V=9.42/10=471500=0.942 S=π r2=3.1416 0.520.7854 h1=V/S=0.942/0.78541.1994 h=h1 0.20=1.1994 0.20=0.2399 m



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