Calculating the Total Surface Area of a Right Circular Cylinder | Formula and Explanation

Surface area of a right circular cilinder

The surface area of a right circular cylinder can be calculated by adding the areas of its curved surface and its two circular bases

The surface area of a right circular cylinder can be calculated by adding the areas of its curved surface and its two circular bases.

To calculate the curved surface area, we need the height (h) and the radius (r) of the cylinder. The formula for the curved surface area is:

CSA = 2πrh

The curved surface area is found by multiplying the circumference of the circular base (2πr) by the height (h).

To calculate the area of each circular base, we need the radius (r) of the cylinder. The formula for the area of a circle is:

Base area = πr²

The base area is found by squaring the radius and multiplying it by π.

Finally, to find the total surface area, we add the curved surface area and the areas of the two circular bases:

Total surface area = CSA + 2(Base area)

Therefore, the formula for the total surface area of a right circular cylinder is:

SA = 2πrh + 2πr²

It is important to note that all the dimensions (height and radius) should be measured using the same units (e.g., centimeters, inches) for accurate calculations.

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