SOLUTION: a right circular cylindrical can is packed snugly into a box. the base is 8cm and the height is 16cm. what is the volume of the space beween the can and the box?

Algebra ->  Volume -> SOLUTION: a right circular cylindrical can is packed snugly into a box. the base is 8cm and the height is 16cm. what is the volume of the space beween the can and the box?      Log On


   

Question 869840: a right circular cylindrical can is packed snugly into a box. the base is 8cm and the height is 16cm. what is the volume of the space beween the can and the box?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the base is a square although it's not stated.
The volume of the box is V%5Bbox%5D=8%2A8%2A16=1024
The diameter of the can is equal to the side of the box.
V%5Bcan%5D=pi%2A%288%2F2%29%5E2%2A16=pi%2A256
V%5Bspace%5D=V%5Bbox%5D-V%5Bcan%5D
V%5Bspace%5D=1024-256%2Api
V%5Bspace%5D=256%284-pi%29