Question

Which cylindrical container must you purchase if the blueprint is to fit fully in the container? Use 1 meter equals 39.37 inches.

Answer 1

Cylinder 2

Step-by-step explanation:

Given (Missing Information):

`Blueprint = 40\ in`

`Cylinder\ 1 = 0.75\ m`

`Cylinder\ 2 = 1\ m`

`Cylinder\ 3 = 1.25\ m`

Required

Which container fits fully into the blueprint

First, we convert the length of each container from metres to inches

`Cylinder\ 1 = 0.75\ m`

`Cylinder\ 1 = 0.75 * 39.37\ in`

`Cylinder\ 1 = 29.5275\ in`

`Cylinder\ 2 = 1\ m`

`Cylinder\ 2 = 1 * 39.37\ in`

`Cylinder\ 2 = 39.37\ in`

`Cylinder\ 3 = 1.25\ m`

`Cylinder\ 3 = 1.25 * 39.37\ in`

`Cylinder\ 3 = 49.2125\ in`

Comparing the length of each cylinder to the blueprint.

`Cylinder\ 1 = 29.5275\ in`

`Blueprint = 40\ in`

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

`Cylinder\ 2 = 39.37\ in`

`Blueprint = 40\ in`

The length of this cylinder approximates to the blueprint . This implies that cylinder 1 will fit the blueprint.

`Cylinder\ 3 = 49.2125\ in`

`Blueprint = 40\ in`

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.