Question

A cylindrical grain silo, with a flat top, is 30 feet tall and has a radius of 12 feet. It is full to the top with shelled corn. If the density of shelled corn averages 45 pounds/cubic foot, what does the corn in the silo weigh to the nearest pound

Answer 1

610805 pounds

Explanation:

The volume of grain in the silo will be calculated as equal to the volume of the cylinder formed by the silo

Height of the silo
`l` = 30 ft

radius of the silo r = 12 ft

volume of a cylinder =
`\pi r^(2) l`

substituting, we have

V = 3.142 x
`12^(2)` x 30 = 13573.44 cubic feet

We know that density ρ = weight/volume

density of the grains in the silo = 45 pound/cubic feet

therefore,

weight of grains = density x volume

weight of grains = 45 x 13573.44 = 610804.8 ≅ 610805 pounds