SOLUTION: If you have a can of frosting measuring 3" in diameter and 4" high, to use on a baking dish with a volume of 256", would you be able to cover the top with 1/2" of frosting? If not

Algebra ->  Surface-area -> SOLUTION: If you have a can of frosting measuring 3" in diameter and 4" high, to use on a baking dish with a volume of 256", would you be able to cover the top with 1/2" of frosting? If not       Log On


   

Question 1055525: If you have a can of frosting measuring 3" in diameter and 4" high, to use on a baking dish with a volume of 256", would you be able to cover the top with 1/2" of frosting? If not how many cans would you need?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Knowing the volume of the baking dish is not enough information.
You need to know the depth of the baking dish also or just the surface area of the baking dish.
You can calculate the volume of frosting,
V%5Bavail%5D=pi%2AR%5E2%2AH=pi%2A%283%2F2%29%5E2%2A4=9piin%5E3
Then the volume of frosting needed for the cake would be,
V%5Bneeded%5D=A%2A%281%2F2%29=A%2F2
If you had the depth, D, of the baking dish (your units of volume should be cubic inches),
A=256%2FD
You could then compare volume needed and volume available.