A farm has two cylindrical silos for storing grain as shown.
Silo A : 18ft and 20ft
silo B:12ft and 30ft
How much greater is the volume, in cubic feet, of the larger silo than the smaller silo?
Use 3.14 for pi.
(3 points)
The volume of a cylindrical silo is given by the formula V = πr^2h, where r is the radius and h is the height.
For Silo A:
Radius = 18ft / 2 = 9ft
Height = 20ft
Volume = π(9^2)(20) = 1620π ft^3 (approximately)
For Silo B:
Radius = 12ft / 2 = 6ft
Height = 30ft
Volume = π(6^2)(30) = 1080π ft^3 (approximately)
The difference in volume between the larger silo (Silo A) and the smaller silo (Silo B) is:
1620π - 1080π = 540π ft^3 (approximately)
Since we are to use 3.14 as the approximation for π, the difference in volume would be:
540π ≈ 1695.6 ft^3 (approximately)
Therefore, the volume of the larger silo is approximately 1695.6 cubic feet greater than the smaller silo.