Question

A farm has two cylindrical silos for storing grain as shown. Silo A has a radius of 18 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

The volume of a cylinder is V = πr^2h, with π = 3.14.

Silo A: r = 18, h = 20
V_A = 3.14 × 18^2 × 20 = 3.14 × 324 × 20 = 20,347.2 ft^3

Silo B: r = 12, h = 30
V_B = 3.14 × 12^2 × 30 = 3.14 × 144 × 30 = 13,564.8 ft^3

Difference (A − B) = 20,347.2 − 13,564.8 = 6,782.4 ft^3

So: Silo A = 20,347.2 ft^3; Silo B = 13,564.8 ft^3; A is 6,782.4 cubic feet larger.