A company uses paper cups shaped like cones for its water cooler. each cup has a height of 9cm, and the base has a diameter of 6 cm. the cooler had 12,717 cm to the third power of water in it. how many cups can be filled from the cooler?

use 3.14, do not round answer

We can fill 150 paper cup cones.

Step-by-step explanation:

Volume of a cone is

V = 1/3 pi * r^2 * h

The volume of one cone is

pi = 3.14

r = d/2 = 6/2 = 3

h=9

Substitute what we know

V = 1/3 * (3.14) * (3^2) * (9)

= 27 * 3.14

= 84.78 cm^3

The water cooler has 12717 cm^3 water

Divide the water by the volume of the paper cup cone and we will know how many paper cup cones we can fill, assuming we fill them completely.

12717 / 84.78 = 150

We can fill 150 paper cup cones.