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
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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?
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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
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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