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?

Respuesta :

Answer:

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

Step-by-step explanation:

Find the volume of the cone package.

[tex]V = \frac{\pi r^{2}h }{3} \\V=\frac{3.14(3^{2})(8) }{3} \\V= \frac{25.12(9)}{3} \\V = \frac{226.08}{3} \\V=75.36[/tex]

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

1000/75.36 = 13.3