A shipping company is moving 500 cubic meters of a certain liquid product. If the company plans to use cylindrical containers of radius 0.4 metersand a height of 1.5 meters, how many containers...

A shipping company is moving 500 cubic meters of a certain liquid product. If the company plans to use cylindrical containers of radius 0.4 meters

and a height of 1.5 meters, how many containers does it need to contain all of the liquid?

Asked on by aqueen84

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lemjay | High School Teacher | (Level 3) Senior Educator

Posted on

First, let's determine the capacity of each cylindrical container. To do so, use the formula of volume of cylinder which is:

`V=pir^2h`

where r is the radius and h is the height.

Substitute r=0.4m and h=1.5m to the formula.

`V=pi(0.4 m)^2(1.5m)= 0.75 m^3`

So each container can hold up to 0.75 cubic meter of liquid.

Then, to determine the number of containers needed to contain all of the liquid, divide the total liquid by the capacity of each cylinders.

`# of contai n ers = ( t o tal volume of liquid) / (volume of each contai n er) = (500 m^3)/(0.75 m^3 )= 666.67`

Since we cannot have a part of a container, round up the resulting value to the next higher whole number.

Hence, 667 containers are needed to ship all the 500 cubic meter liquid.

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