A farm has two cylindrical silos for storing grain as shown.
18ft 12ft
20ft 30
silo a silo b
How much greater is the volume, in cubic feet, of the larger silo than the smaller silo?
The volume of Silo A is ft3
the volume of Silo B is ft43
The volume of Silo A is cubic feet
Use 3.14 for pi.
To find the volume of a cylinder, we use the formula: V = πr^2h, where r is the radius and h is the height.
For Silo A:
Radius = 18 ft / 2 = 9 ft
Height = 20 ft
V(A) = π(9^2)(20) = 1620π ft³
For Silo B:
Radius = 12 ft / 2 = 6 ft
Height = 30 ft
V(B) = π(6^2)(30) = 1080π ft³
The volume of Silo A is 1620π cubic feet.
The volume of Silo B is 1080π cubic feet.
To find the difference in volume, we subtract the smaller volume from the larger volume:
Difference = V(A) - V(B)
Difference = (1620π) - (1080π)
Difference = 540π ft³
Therefore, the greater volume of the larger silo compared to the smaller silo is 540π cubic feet.