At a railway yard, locomotives are used to haul containers carrying oil. A locomotive is chosen according to the volume of oil it can haul, as shown in the table.

Locomotive

Capacity

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

The four cylindrical containers listed in the table need to be hauled.

Cylinder

Length (ft.)

Diameter (ft.)

Fill Level

A 40 12 half

B 24 8 full

C 16 16 full

D 6 12 full

Match each container to the locomotive needed to haul it.

Tiles

A450

cylinder A

CG35

cylinder B

BR73

cylinder C

YH61

cylinder D

Question

Mathematics

Paddington

29 May, 12:36

At a railway yard, locomotives are used to haul containers carrying oil. A locomotive is chosen according to the volume of oil it can haul, as shown in the table.

Locomotive

Capacity

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

The four cylindrical containers listed in the table need to be hauled.

Cylinder

Length (ft.)

Diameter (ft.)

Fill Level

A 40 12 half

B 24 8 full

C 16 16 full

D 6 12 full

Match each container to the locomotive needed to haul it.

Tiles

A450

cylinder A

CG35

cylinder B

BR73

cylinder C

YH61

cylinder D

+1

Answers (1)

Know the Answer?

Kennedi · Answer 1

Volume of cylinder A = π (12^2/4) x (40/2) = 2,262 cubic feet which will be hauled by locomotive BR73.

Volume of cylinder B = π (8^2/4) x 24 = 1,206 cubic feet which will be hauled by locomotive CG35.

Volume of cylinder C = π (16^2/4) x 16 = 3,217 cubic feet which will be hauled by locomotive YH61.

Volume of cylinder D = π (6^2/4) x 12 = 339 cubic feet which will be hauled by locomotive A450.