A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground.What is the area of the surface of the silo that will be exposed to rain, wind, and sun?

Rain, wind, and sun reach the cylinder’s curved side and the hemisphere’s curved surface, but not the base on the ground or the surface where the two parts meet. The cylinder’s curved area is 2πrh = 2π(5)(40) = 400π square feet, and the hemisphere’s curved area is 2πr² = 2π(5²) = 50π square feet. Together, they have an exposed area of 450π square feet, choice A.

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