Answer:
161,234 pounds of grain will remain in the silo
Step-by-step explanation:
In this question, we are to calculate the amount of grains that will be left in a silo if 20 cows feed on the content for 100 days.
Firstly, we need to calculate the amount of grains present in the silo.
This we can do by first calculating the volume of the silo. Since it is cylindrical in shape, we apply the formula for the volume of a cylinder.
Mathematically, the volume of a cylinder is
V = pi * r^2 * h
Here we have the r = D/2 = 12/2 = 6 feet and h = 40 feet. Plugging this , we have;
V = pi * 6^2 * 40 = 1440pi cubic feet
Now, per cubic feet, we have a weight of 48 pounds. The weight of grains thus present in the silo is thus;
1440pi * 28 = 1440 * pi * 48= 69,120pi pounds of grain
Let’s calculate what the cows would feast on. That would be 20 * 28 * 100 = 56,000 pounds of grains
Now we need to know what will remain. We just need to subtract what is consumed by the cows from we have inside the silo
What is inside the silo would be 69,120 * 22/7 = apprx 217,234 pounds
What will remain is thus 217,234 - 56,000 = 161,234 pounds of grain
