Surface area of a right circular cilinder
The surface area of a right circular cylinder refers to the sum of the areas of all its surfaces
The surface area of a right circular cylinder refers to the sum of the areas of all its surfaces. A right circular cylinder is a three-dimensional shape with two circular bases that are parallel and congruent to each other.
To calculate the surface area of a right circular cylinder, you need to consider two components: the area of the two circular bases and the curved surface area (lateral area).
The formula for the surface area of a right circular cylinder is:
SA = 2πr^2 + 2πrh
Where:
– SA represents the total surface area
– π (pi) is a mathematical constant approximately equal to 3.14
– r is the radius of the circular base
– h is the height of the cylinder
To calculate the surface area, you need to know the values of the radius and height.
First, calculate the area of the circular bases by using the formula for the area of a circle:
A(base) = πr^2
The base area is multiplied by 2 (since there are two bases) in the formula.
Next, calculate the curved surface area (lateral area) by using the formula:
A(curved surface) = 2πrh
The lateral area is also multiplied by 2 (since there are two sides of the cylinder).
Finally, add the areas of the bases and the lateral area to get the total surface area of the cylinder.
Let’s say we have a cylinder with a radius of 5 units and a height of 8 units.
Area of each base: A(base) = π(5^2) = 25π square units
Lateral area: A(curved surface) = 2π(5)(8) = 80π square units
Total surface area: SA = 2(25π) + 2(80π) = 50π + 160π = 210π square units
Therefore, the surface area of the given right circular cylinder is 210π square units.
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