Surface area of a right circular cilinder
2πrh
The surface area of a right circular cylinder can be found using the following formula:
Surface Area = 2πr² + 2πrh
Where r is the radius of the circular base of the cylinder, and h is the height of the cylinder.
The first term, 2πr², represents the area of the two circular bases of the cylinder. The second term, 2πrh, represents the area of the curved side of the cylinder.
Here’s an example of how to use the formula:
Suppose we have a right circular cylinder with a radius of 5 cm and a height of 10 cm. To find the surface area, we can plug these values into the formula:
Surface Area = 2π(5)² + 2π(5)(10)
Surface Area = 2π(25) + 2π(50)
Surface Area = 50π + 100π
Surface Area = 150π
So the surface area of the cylinder is 150π square cm, or approximately 471.24 square cm.
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