A grain silo has the shape of a right circular cylinder with a half sphere on top. It is used to store various grains (Corn, wheat, etc.) sold and delivered to market. The surface are, in square feet, of a grain silo of height h and radius r, both in feet and including the are of the base, is given by the polynomial 2π+π^2. How much surface are does a silo have if it has radius of 15 ft and a height of 50 ft? Use 3.14 for π and round to the nearest tenth of a square foot?
The equation you've stated for the surface area of the silo, including the hemispherical top, is wrong. It should be: S = 2πrh + 2πr? If r = 15 and h = 50, then: S = 2(3.14)(15)(50) + 2(3.14)(15)? = 6,123 ft?
