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29 May, 16:44

Given sphere Z has a volume of 64 times that of sphere B, then sphere Z's radius is how many times larger than that of sphere B's radius?

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  1. 29 May, 17:43
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    Step-by-step explanation:

    If the radius of sphere Z is R, and the radius of sphere B is r, then:

    Vz = 4/3 π R³

    Vb = 4/3 π r³

    The volume of sphere Z is 64 times the volume of sphere B, so:

    Vz = 64 Vb

    4/3 π R³ = 64 (4/3 π r³)

    R³ = 64r³

    R = 4r

    The radius of sphere Z is 4 times the radius of sphere B.
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