174k views
24 votes
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?

Use 3.14 for
\pi , and do not round your answer.

User Paracycle
by
3.7k points

1 Answer

9 votes

Answer: the answer is 150 :)

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. have a great day!

User Jason Owen
by
3.3k points