# SOLUTION: The surface area of a sphere is directly proportional to the square of its radius r. The volume v of the sphere is directly proportional to the cube of its radius r. Find the perc

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 Question 560114: The surface area of a sphere is directly proportional to the square of its radius r. The volume v of the sphere is directly proportional to the cube of its radius r. Find the percentage increase in v when s increases by 25%. Answer by Alan3354(31487)   (Show Source): You can put this solution on YOUR website!The surface area of a sphere is directly proportional to the square of its radius r. The volume v of the sphere is directly proportional to the cube of its radius r. Find the percentage increase in v when s increases by 25%. ----------------- A 25% increase --> 1.25 times the area Change in radius = Change in volume = =~ Vol*1.3975 =~ 39.75% increase in volume