A farm has two cylindrical silos for storing grain as shown. the first on has a volume of 12 eet and height of 30 feet the second has a volume of 20 feet and height of 20 feet
How much greater is the volume, in cubic feet, of the larger silo than the smaller silo?
he volume of Silo A is Response area ft3.
Use 3.14 for pi.The volume of Silo B is Response area ft3.The volume of Silo A is Response area cubic feet larger than the volume of the Silo
The volume of a cylinder is calculated by multiplying the area of the base (which is a circle) by the height.
The formula for the volume of a cylinder is:
Volume = π * r^2 * h
For Silo A:
Volume = 3.14 * (r^2) * 30
12 = 3.14 * (r^2) * 30
Dividing both sides by (3.14 * 30):
r^2 = 12 / (3.14 * 30)
r^2 = 0.1278
Taking the square root of both sides:
r ≈ 0.3589
For Silo B:
Volume = 3.14 * (r^2) * 20
20 = 3.14 * (r^2) * 20
Dividing both sides by (3.14 * 20):
r^2 = 20 / (3.14 * 20)
r^2 = 0.3185
Taking the square root of both sides:
r ≈ 0.5642
Now we can calculate the volume of each silo:
Volume of Silo A = 3.14 * (0.3589^2) * 30 ≈ 12 ft^3
Volume of Silo B = 3.14 * (0.5642^2) * 20 ≈ 20 ft^3
The volume of Silo B is 20 ft^3 - 12 ft^3 = 8 ft^3 greater than the volume of Silo A.