Question

A farm has two cylindrical silos for storing grain as shown. Silo A has a radius of 19 ft and a height of 20 ft while Silo B has a radius of 12 ft and a height of 30 ft.
How much greater is the volume, in cubic feet, of the larger silo than the smaller silo? Use 3.14 for pi.
The volume of Silo A is ___ ft^3
The volume of Silo B is ___ ft^3
The volume of Silo A is ___ cubic feet larger than the volume of the Silo B.
Choices: 27,129.6, 20,347.2, 13,564.8, 6,782.4, 33,912.0

Answer 1

Volume of a cylinder: V = π r^2 h, with π = 3.14.

Silo A: V = 3.14*(19^2)*20 = 3.14*361*20 = 22,670.8 ft^3
Silo B: V = 3.14*(12^2)*30 = 3.14*144*30 = 13,564.8 ft^3

Difference (A − B) = 22,670.8 − 13,564.8 = 9,106.0 ft^3

(Notes: 13,564.8 appears in the given choices; the difference 9,106.0 is not among the listed choices.)