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To find the surface area of a cylinder, you need to calculate the area of the two circular bases and the curved surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2Ï€r^2 + 2Ï€rh
Given that the radius (r) is 2 yards and the height (h) is 3 yards, we can plug these values into the formula to find the surface area.
The area of the circular bases:
Base area = πr^2 = π(2^2) = 4π
The curved surface area:
Curved surface area = 2Ï€rh = 2Ï€(2)(3) = 12Ï€
Now we can calculate the total surface area:
Surface Area = 2Ï€r^2 + 2Ï€rh = 2(4Ï€) + 12Ï€ = 8Ï€ + 12Ï€ = 20Ï€
The surface area of the cylinder is 20Ï€ square yards.