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24 March, 18:11

A cube of side 10 cm is melted down and made into ten identical spheres. Calculate the surface area of one of the spheres.

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  1. 24 March, 19:33
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    First, we calculate the volume of the cube by raising to third power the measurement of its side and the answer is 1000 cm³. Then, we divide this by the 10 identical spheres.

    volume of each sphere = 1000 cm³/10 = 100 cm³

    The volume is equal to 4πr³/3. The radius of each,

    r = 100*3/4π = 6.18

    Then, we solve for the surface area through the equation,

    A = 4πr² = (4) (π) (6.18) ² = 480 cm².
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