A farmer's cylindrical silo has a radius of 2 m and is filled with grain to a height of 10 m.
He is using the grain to fill bags that are 20 cm by 50 cm by 100 cm. How many bags will he be able to fill?
1324
1134
1287
1257
To find the volume of the cylindrical silo, we use the formula V = πr^2h, where r is the radius and h is the height.
V = π(2^2)(10) = 40π m^3
The volume of one bag is 20 cm * 50 cm * 100 cm = 100,000 cm^3 = 0.1 m^3
To find the number of bags the farmer can fill, we divide the volume of the silo by the volume of one bag:
(40π m^3) / (0.1 m^3) = (40π) / (0.1) = 400π
Using an approximation value of π = 3.14, we get:
400π ≈ 1256.64
Therefore, the farmer will be able to fill approximately 1257 bags.
The correct answer is 1257.