Question

At a railway yard, locomotives are used to pull containers full of oil. A locomotive is chosen according to the volume of oil it can pull as shown in the table. Consider a cylindrical container that needs pulling. It is 40 feet long and 12 feet in diameter. If one-half of the container is filled with oil, which locomotive should be selected to pull it? Volume of Oil in Container

A450
0−750 cubic feet
CG35
750−1,500 cubic feet
BR73
1,500−2,500 cubic feet
YH61
2,500−3,500 cubic feet

Answer 1

Option C. BR73 locomotive.

Explanation:

A cylindrical container having radius =
`(12)/(2)` feet

and length = 40 feet.

Volume of the container =
`\pi r^(2)h`

=
`\pi (6)^(2) (40)`

= x × ( 36 × 40 )

= 4525.71 cubic feet

Since container is half filled so volume of the oil =
`(4525.71)/(2)`

= 2262.86 feet³

From the given table BR73 locomotive will be used to pull the container.

Answer 2

So the question ask to choose among the choices is the locomotive should be selected to pull the locomotive and the best answer among the choices you have given is letter BR73. I hope you are satisfied with my answer and feel free to ask for more if you have clarifications