Final answer:
The volume of the grain storage building can be found by calculating the volume of the cylindrical bottom and the cone-shaped top separately, and then adding them together.
Step-by-step explanation:
The volume of the grain storage building can be calculated by finding the volume of the cylindrical bottom and the volume of the cone-shaped top separately, and then adding them together.
The volume of the cylinder is given by the formula V = πr²h, where r is the radius (half the diameter) and h is the height. So, the volume of the cylinder is V = π(10m)²(10m) = 100π m³.
The volume of the cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. So, the volume of the cone is V = (1/3)π(10m)²(6m) = 200π m³.
Therefore, the total volume of the grain storage building is V = 100π m³ + 200π m³ = 300π m³.