Question

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?

Answer 1

First of all we need to know the volume of one trashcan (cylinder).
To figure that out we use V=b.h

The base is the area of the circle, so lets start with that: A = pi.r²

If we know the diameter is 1.5m, we know that the radius is half of that, so 0.75m.

A= 0.75².pi = about 1.77

Now we have the are of the circle, multiply this with the height of the trashcan:

V= b.h = 1.77 x 1.25 = 2.21

The volume of 1 trashcan is 2.21m³

how many trashcans of 2.21m³ do we need to dispose of the 10m³ we have?

10 divided by 2.21 = 4.52.

So at least 5 trash cans

Hope it was a little bit clear?