Total surface area of a cylinder
The total surface area of a cylinder can be calculated by adding the areas of its two circular bases and the curved surface area
The total surface area of a cylinder can be calculated by adding the areas of its two circular bases and the curved surface area.
To find the area of one circular base, we use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.
Similarly, to find the area of the other circular base, we use the same formula with the same radius.
The curved surface area of the cylinder is given by the formula: A = 2πrh, where A is the area, r is the radius, and h is the height.
To find the total surface area, we add the areas of the two circular bases and the curved surface area:
Total Surface Area = 2(A_base) + A_curved surface area
= 2(πr^2) + 2πrh
= 2πr(r + h)
So, the total surface area of a cylinder is given by 2πr(r + h).
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