Question

One package of popcorn makes 1000 cubic inches of popcorn. The movie theatre sells the popcorn in cone shaped containers. The containers have a radius of 3 inches and a height of 8 inches. How many containers can the movie theatre fill from one package of popcorn?

Answer 1

13.3, but you can't sell 0.3 so round to the nearest whole number, which is 13.

Explanation:

Find the volume of the cone package.

`V = (\pi r^(2)h )/(3) \\V=(3.14(3^(2))(8) )/(3) \\V= (25.12(9))/(3) \\V = (226.08)/(3) \\V=75.36`

Now divide the total cubic inches, 1000, by the volume of one cone package.

1000/75.36 = 13.3