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13 June, 02:29

Each hemisphere of isabels globe has a volume of 60,750 pie cm^3. What is the radius of her globe

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  1. 13 June, 02:55
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    45cm

    Step-by-step explanation:

    Volume of a sphere = 4/3πr³

    Volume of an hemisphere = 1/2 of volume of a sphere

    Volume of hemisphere = 1/2{4/3πr³}

    Volume of hemisphere = 2/3πr³

    Given

    Volume of the hemisphere = 60,750πcm³

    60,750π = 2/3πr³

    π cancels out

    60,750 = 2/3r³

    Multiply both sides by 3

    2r³ = 60,750*3

    2r³=182,250

    Divide both sides by 2

    r³ = 91,125

    Find the ∛ of 91,125 to eliminate the cube on r

    r = ∛91,125

    r = 45cm
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