SOLUTION: The weight of a synthetic ball varies directly with the cube of it radius. A ball with a radius of 2 inches weighs 1.20 pounds. Find the weight of a ball of the same material with

Algebra ->  Finance -> SOLUTION: The weight of a synthetic ball varies directly with the cube of it radius. A ball with a radius of 2 inches weighs 1.20 pounds. Find the weight of a ball of the same material with       Log On


   

Question 842214: The weight of a synthetic ball varies directly with the cube of it radius. A ball with a radius of 2 inches weighs 1.20 pounds. Find the weight of a ball of the same material with a 3 inch radius.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The weight of a synthetic ball varies directly with the cube of it radius. 

A ball with a radius of 2 inches weighs 1.20 pounds. 

Find the weighthighlight_green%28x%29 of a ball of the same material with a 3 inch radius.

%288in%5E3%29%2F%281.2lb%29+=+%2827in%5E3%29%2Fx     |Cross Multiplying to solve

  8x = 27*1.2

   x+=+27%2A%281.2%29%2F8 lb

x+=+27%2A%281.2%29%2F8 = 4.05 lb   Thank You.