SOLUTION: a small ice cream carton with the diameter of 2 inches has 140 calories. a similar carton, containing the same type of ice cream has a diameter of 6 inches how many calories does t

Algebra ->  Volume -> SOLUTION: a small ice cream carton with the diameter of 2 inches has 140 calories. a similar carton, containing the same type of ice cream has a diameter of 6 inches how many calories does t      Log On


   

Question 972883: a small ice cream carton with the diameter of 2 inches has 140 calories. a similar carton, containing the same type of ice cream has a diameter of 6 inches how many calories does the large carton of ice cream contain ?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Volumes are in proportion and you can form a proportion equation for calories and volume.

The small container with 140 calories:
volume is h%2Api%2A1%5E2=highlight_green%28h%2Api%29, because radius is 1 inch.

Large container with the same kind of icecream has radius 6 inches.
The linear dimensions are also in constant ratio between small and large container.
That is not needed here.

smallRadius%2FsmallCalories=largeRadius%2FlargeCalories

1%2F140=3%2FL, using L for the calories of ice cream in the Large container.
L%2F3=140%2F1
L=3%2A140
highlight%28L=420%29