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12 September, 04:35

Two spherical pieces of cookie dough have radii of 3cm & 5cm. The pieces are combined to form one large spherical piece of dough. What is the approximate radius of the new sphere of dough? round to the nearest tenth

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  1. 12 September, 04:48
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    Hello,

    The sum of volumes of the two spheres is

    4/3*π*a³+4/3*π*b³=4/3*π*c³

    c=∛ (a³+b³) = ∛ (3³+5³) = ∛152=5.336803297 ... ≈5.34 (cm)
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