SOLUTION: There are two containers of ice cream , one has a diameter of 2 inches and has 140 calories, second container has a diameter of 6 inches, how many calories does the second containe

Algebra ->  Volume -> SOLUTION: There are two containers of ice cream , one has a diameter of 2 inches and has 140 calories, second container has a diameter of 6 inches, how many calories does the second containe      Log On


   

Question 892284: There are two containers of ice cream , one has a diameter of 2 inches and has 140 calories, second container has a diameter of 6 inches, how many calories does the second container have?
Found 2 solutions by josgarithmetic, pippi3875@gmail.com:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Just diameter? Any information about height of the containers? Do we assume that the heights are equal for the two containers?

The calories depend on volume; and we could only assume that the heights are equal for the two containers.

ONE:
h%2Api%2A2%5E2 has 140 calories.
h%2A4pi, volume.

SECOND:
h%2Api%2A6%5E2 has unknown calories amount.
h%2A36pi, volume.

The situation is a proportion.
Let c = how many unknown calories in the second container.
highlight%28c%2F%28h%2A36pi%29=140%2F%28h%2A4pi%29%29

c=140%2836%2F4%29, since the h and pi will cancel;
c=140%2A9
highlight%28c=1260%2Acalories%29

Answer by pippi3875@gmail.com(1) About Me  (Show Source):
You can put this solution on YOUR website!
6/2, which would equal down to a ratio of 3/1, then you would multiply 3x3x3, which is 27. Then you take 140 calories and multiply 140x27= 3,780 calories for the container with a diameter of 6 inches.