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The volume of the larger sphere will be 27 times the original.
The volume of a sphere is (4/3)*pi*r³, so if V1 = (4/3)*pi*r1³ and V2 = (4/3)*pi*r2³ the ratio of volumes V2/V1 = r2³ / r1³ = 27 [the (4/3) and pi cancel];
since r2 = (3*r1) then (3*r1)³ = (3³*r1³) = 27* r1³, then divide by r1³ and the answer is 27.
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