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Mathematics 22 Online
OpenStudy (anonymous):

A neighborhood has provided trash cans to residents to dispose of their waste. All trash cans have a diameter of 1.5 meters and a height of 1.25 meters. What is the minimum number of trash cans required to dispose of 10 cubic meters of waste? 14 13 5 4

OpenStudy (shadowfiend):

So first off, what is 10 cubic meters a measurement of? Area? Volume? Length? Height?

OpenStudy (anonymous):

@shadowfiend i think it might be 5 or 14

OpenStudy (shadowfiend):

Ok, how did you get to those answers?

OpenStudy (anonymous):

pi times radius^2 times height

OpenStudy (shadowfiend):

And what numbers did you plug in for radius and height?

OpenStudy (anonymous):

3.14 times .75^2 times 1.25

OpenStudy (anonymous):

u have to cut the diameter in half to find the radius

OpenStudy (shadowfiend):

Yep! So that gives us a volume of 2.2 cubic meters per trash can.

OpenStudy (shadowfiend):

We're trying to stash 10 cubic meters, so we can see how many trash cans of 2.2 cubic meters make 10.

OpenStudy (anonymous):

10/2.2= 4.5

OpenStudy (anonymous):

but id go with the 5

OpenStudy (shadowfiend):

Right! And since we can't just use half a trash can—we need the whole thing—that's right, we go with 5 :)

OpenStudy (anonymous):

awesome. @shadowfiend thanks for the help. you rock

OpenStudy (shadowfiend):

My pleasure :)

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