SOLUTION: The volume of a can is directly proportional to the height of the can. If the volume of the can is 600 cm cubed when its height is 15.67 ​cm, find the volume to the nearest w

Algebra ->  Equations -> SOLUTION: The volume of a can is directly proportional to the height of the can. If the volume of the can is 600 cm cubed when its height is 15.67 ​cm, find the volume to the nearest w      Log On


   



Question 1061757: The volume of a can is directly proportional to the height of the can. If the volume of the can is 600 cm cubed when its height is 15.67 ​cm, find the volume to the nearest whole number of a can with height 17.96 cm.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
V=kh, solve for k
600=k*15.67
k=38.29
V=k(17.96)
V=38.29*17.96=687.69
688 cm^3.
Check by noting that the increase is 2.29 cm or about 15%.
Therefore, the height ought to increase 15%, which is 600*0.15=90. The answer is reasonable.