Please help me 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 teh 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 pi.

252π square feet

Step-by-step explanation:

First, we need to find the area of the base of the cylinder. πr^2 => 36π. The base is 36π square feet. Now to find the other part of the surface area of the cylinder. Take the height(10ft) and multiply it by the circumference of the base(2πr => 12π). What we get is 120π square feet. The surface area of the cylinder part is 156π square feet. On to finding the cone. All we need to find is the lateral surface area. The formula is base*height/3. 36π*8/3 => 96π. The total surface area can be calculated by adding the two values we got earlier. 156π+96π = 252π square feet

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