Question

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

Answer 1

We can fill 150 paper cup cones.

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.