A cylindrical silo is 70 feet high and its base is a circle of circumference 125.7 feet. What volume, to the nearest 100 cubic feet, of grain can be stored inside of it?

A) 31,100 cubic feet

B) 45,600 cubic feet

C) 62,800 cubic feet

D) 100,000 cubic feet

E) 122,300 cubic feet

D) 100,000 cubic feet

Step-by-step explanation:

The circumference of a circle is calculated as:

circumference = 2*π*r

Replacing with data and solving for r (radius of the silo):

125.7 = 2*π*r

r = 125.7 / (2*π)

r = 20 ft

The volume of a cylindrical silo is:

volume = π*r²*h + 2*r³*π/3

where h refers to silo's high. Replacing with data and solving:

volume = π*20²*70 + 2*20³*π/3

volume = 104,719.755 ft³ ≈ 100,000 cubic feet