56. A cylindrical container with a radius of 2R and a height of 2R contains liquid with a density of ρ, filling 17/18 of its volume. When a plastic ball of radius R is placed m 1he liquid, the liquid perfectly fills tiie container witiiout any liquid spilled out. What is the density of the plastic ball in terms of ρ?
(A)ρ/4
(B)ρ/3
(C)ρ/2
(D)3ρ/4
(E)2ρ/3

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統計： A(0), B(7), C(0), D(0), E(1) #3222823

詳解 (共 1 筆)

#6071049
球所占體積V = (2R)2  *π   *(1/18) *2R, 
球所占重量W = Vρ = (4/9)ρπR3 
球體積Vball = (4/3)πR3 ,
球密度W/Vball = (1/3)ρ (B)
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