Question

At the movie theater, a largecylindrical container of popcorncosts $5.00, and a smallcylindrical container costs $2.50.Nicole thinks that the heights ofthe containers are about thesame and that the radius of thelarge container is about twicethe radius of the small container.Should she buy two smallcontainers or one large to getmore for her money? *

Answer 1

Let the radius of the small cylindrical container be r and the height be h. Then the radius of the large cylindrical container is 2r.

Volume of the small cylinder

`=\pi r^2h`

Volume of the large cylinder

`\begin{gathered} =\pi(2r)^2h \\ =4\pi r^2h \end{gathered}`

So, the volume of popcorn contains in the large cylindrical container is 4 times the volume contains in the small popcorn.

Hence buying one large container is profitable.