Two balls

Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them.

Correct result:

V =  5322.6258 cm3

Solution:

r=8 R=6 x=2 10rR=2 1086=6 h=(r+R)2x2=(8+6)262=4 1012.6491 H=h+r+R=12.6491+8+626.6491 V1=π 102 H=3.1416 102 26.64918372.065 V2=4/3π r3=4/3 3.1416 832144.6606 V3=4/3π R3=4/3 3.1416 63904.7787 V=V1V2V3=8372.0652144.6606904.7787=5322.6258 cm3



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