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

Algebra ->  Test -> 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      Log On


   

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(69443) About Me  (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 = sqrt%281.25%29
Change in volume = %28sqrt%281.25%29%29%5E3 =~ Vol*1.3975
=~ 39.75% increase in volume