Answer:
Cylinder 2
Explanation:
Given (Missing Information):
[tex]Blueprint = 40\ in[/tex]
[tex]Cylinder\ 1 = 0.75\ m[/tex]
[tex]Cylinder\ 2 = 1\ m[/tex]
[tex]Cylinder\ 3 = 1.25\ m[/tex]
Required
Which container fits fully into the blueprint
First, we convert the length of each container from metres to inches
[tex]Cylinder\ 1 = 0.75\ m[/tex]
[tex]Cylinder\ 1 = 0.75 * 39.37\ in[/tex]
[tex]Cylinder\ 1 = 29.5275\ in[/tex]
[tex]Cylinder\ 2 = 1\ m[/tex]
[tex]Cylinder\ 2 = 1 * 39.37\ in[/tex]
[tex]Cylinder\ 2 = 39.37\ in[/tex]
[tex]Cylinder\ 3 = 1.25\ m[/tex]
[tex]Cylinder\ 3 = 1.25 * 39.37\ in[/tex]
[tex]Cylinder\ 3 = 49.2125\ in[/tex]
Comparing the length of each cylinder to the blueprint.
[tex]Cylinder\ 1 = 29.5275\ in[/tex]
[tex]Blueprint = 40\ in[/tex]
The difference between both lengths is too much. This implies that cylinder 1 will not fit the blueprint; instead, it will be loose in the container
[tex]Cylinder\ 2 = 39.37\ in[/tex]
[tex]Blueprint = 40\ in[/tex]
The length of this cylinder approximates to the blueprint . This implies that cylinder 1 will fit the blueprint.
[tex]Cylinder\ 3 = 49.2125\ in[/tex]
[tex]Blueprint = 40\ in[/tex]
The length of this cylinder exceeds the length of the blueprint. Hence, it will not fit.
From above, we can see that only cylinder 2 fits the blueprint.
