Question

The football team has 2 large water containers. Each container holds 345π in3 of water. Each player is given a cylindrical water bottle that has a diameter of 4 inches and a height of 5 inches. If the containers are both full, how many FULL bottles will players be able to get from the containers?

Answer 1

Answer:

They'll be able to get 34 bottles from the containers.

Step-by-step explanation:

Since the bottles are cylindrical we can calculate their volume by using the following formula:

V = base_area*h

V = \pi*(r^2)*h

r = d/2 = 4/2 = 2 inches

V = 3.14*(2^2)*5 = 3.14*4*5

V = 3.14*20 = 62.8 inches^3

In order to know how many full bottles the players will get we need to divide the total volume of the containers, which is given by the sum of the volume of each container, and divide it by the volume of each bottle. We have:

bottles = (345*pi + 345*pi)/62.8 = 690*pi/62.8 = 2,166.6/62.8 = 34.5

Since the problem wants the amount of full bottles we only take the integer part, so they will be able to get 34 bottles from the containers.