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a silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. the diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. calculate the surface area of the silo. leave your answer in terms of π.
a: 480π sq. ft.
b: 276π sq. ft.
c: 216π sq. ft.
d: 204π sq. ft.

Check the picture below, so the silo is more or less like so.

bearing in mind that the bottom of the cone is inside the silo, and the top of the cylinder is also inside the silo, so that's not outside area of the silo, so it'll be excluded.

we know the diameter for both is 12, so the radius is half that or 6, let's find the lateral area of the cone and the lateral area of the cylinder plus the circular base of the cylinder and add them up.

circumference divided by 3.141592654 then timesthe radius twice

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

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step-by-step explanation: