Question

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure if the density of com 48 pounds per cubic

feet, what would be the weight of the com in a full silo? ASAP help!!

Answer 1

50,265 lb

Explanation:

The volume of each cone is ...

V = (1/3)πr²h = (1/3)π(5 ft)²(5 ft) = 125π/3 ft³

The volume of the cylinder is ...

V = πr²h = π(5 ft)²(10 ft) = 250π ft³

Then the volume of the bin is ...

V = cylinder volume + 2 × cone volume = (250π +2(125π/3)) ft³

V = 1000π/3 ft³

___

Multiplying this volume by the density gives the weight of the corn.

ρV = (48 lb/ft³)(1000π/3 ft³ = 16000π lb ≈ 50,265 lb