A silo is a storage bin that is a cylinder with a hemisphere on top. A farmer has a silo with a base radius of 30 feet and a storage height of 100 feet. The "storage height" is the part which can be filled with grain - it is just the cylinder. A cubic foot of grain weighs 62 lbs. One thousand square feet of wheat produces 250 pounds of grain. The farmer's wheat field is 3500 feet by 20,000 feet. Is the silo large enough to hold the grain? By how much? Explain your answer.