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.
13,564.8
20,347.2
6,782.2
33,912.4
To find the volume of a cylindrical silo, we use the formula V = πr^2h, where r is the radius of the base and h is the height of the silo.
For Silo A, the radius is 18/2 = 9 ft and the height is 12 ft.
So, the volume of Silo A is V_A = π(9^2)(12) = 972π ft^3.
For Silo B, the radius is 20/2 = 10 ft and the height is 30 ft.
So, the volume of Silo B is V_B = π(10^2)(30) = 3000π ft^3.
To find the difference in volume between the two silos, we subtract the volume of Silo A from the volume of Silo B: V_diff = V_B - V_A = 3000π - 972π = 2028π ft^3.
Now, we can calculate the approximate value of the volume difference using π ≈ 3.14: V_diff ≈ 2028(3.14) = 6376.08 ft^3.
Therefore, the volume of the larger silo (Silo B) is 6376.08 cubic feet greater than the volume of the smaller silo (Silo A).
The correct answer is 6,782.2 cubic feet.