Answer:
Silo A: volume = 20,347.2 ft³
Silo B: volume = 13,564.8 ft³
The volume of Silo A is 6,782.4 ft³ larger than the volume of Silo B.
Explanation:
First, we find the two volumes.
volume of cylinder = πr²h
where π = 3.14; r = radius of the base; h = height of cylinder
Silo A
π = 3.14
r = 18 ft
h = 20 ft
V = πr²h = 3.14 × (18 ft)² × 20 ft = 3.14 × 324 ft² × 20 ft = 20,347.2 ft³
Silo A
π = 3.14
r = 12 ft
h = 30 ft
V = πr²h = 3.14 × (12 ft)² × 30 ft = 3.14 × 144 ft² × 30 ft = 13,564.8 ft³
Silo A has the greater volume.
The difference in volume is:
20,347.2 ft³ - 13,564.8 ft³ = 6,782.4 ft³