Question

A farmer filled two cylindrical silos with wheat. The wheat in both silos has a density of 50 pounds per cubic foot. He had the wheat tested for protein content.

• The larger silo has a radius of 5 feet, a height of 10 feet, and the wheat is 12% protein.

• The smaller silo has a radius of 6 feet, a height of 6 feet, and the wheat is 15% protein.

The farmer states that the wheat in each silo contains over 5000 pounds of protein. Which of these is a correct evaluation of the farmer’s statement?


A.) He is correct about the protein content in both silos.

B.) He is incorrect about the protein content in both silos.

C.) He is correct about the protein content in the larger silo but incorrect about the protein content in the smaller silo.

D.) He is incorrect about the protein content in the larger silo but correct about the protein content in the smaller silo.

Answer 1

d

Explanation:

volume of a cylinder = nr^2h

n = 3.14

r = radius

Volume of bigger cylinder = 3.14 x 5^2 x 10 = 785

total density = 50 x 785 = 39250

Protein content = 0.12 x 39250 = 4710

Smaller cylinder = 3.14 x 6^2 x 6 = 678.24

678.24 x 50 = 33912

33912 x 0.15 = 5086