# SOLUTION: Juice comes in cylindrical cans of two sizes. The larger can has a radius which is three times the radius of the smaller can. Both cans have the same height. How much more juice is

Algebra ->  -> SOLUTION: Juice comes in cylindrical cans of two sizes. The larger can has a radius which is three times the radius of the smaller can. Both cans have the same height. How much more juice is      Log On

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 Question 283796: Juice comes in cylindrical cans of two sizes. The larger can has a radius which is three times the radius of the smaller can. Both cans have the same height. How much more juice is in the large can than the small can? f. 9 times as much g. 6 times as much h. 3 times as much j. 27 times as much Answer by mananth(13127)   (Show Source): You can put this solution on YOUR website!Juice comes in cylindrical cans of two sizes. The larger can has a radius which is three times the radius of the smaller can. Both cans have the same height. How much more juice is in the large can than the small can? f. 9 times as much g. 6 times as much h. 3 times as much j. 27 times as much Let the radius of the smaller can be x the larger can radius = 3x volume of smaller can = pi*x^2 *h volume of bigger can = pi* (3x)^2 *h Thpi*(3x)^2*h / pi*x^2*h the ratio of both = pi*(3x)^2*h / pi*x^2*h =pi*9x^2*h / pi*x^2*h = 9 So the larger can contains 9 times the quantity of the smaller can