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

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(16946) (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

RELATED QUESTIONS
Fruit cocktail comes in large and small cylindrical cans. The larger can has a radius and (answered by josgarithmetic)

A toy store sells two sizes of circular dartboards. The larger of the two has a radius... (answered by kiru_khandelwal)

Comparing Dart Boards: A toy store sells two sizes of circular dart boards. The larger (answered by jai_kos)

Fruit Tree Juice Company packages its most popular drink, apple-prune juice, in... (answered by rwm)

A food company distributes its tomato soup in two cans of different sizes. For the larger (answered by ankor@dixie-net.com)

PLEASE HELP! A food company distributes its tomato soup in two cans of different... (answered by josgarithmetic,MathTherapy)

A food company distributes its tomato soup in two cans of different sizes. For the larger (answered by fractalier)