Area of a Cylinder
πr² + πr² + h•2πr
The formula for finding the area of a cylinder involves finding the sum of the areas of the two circular bases and the lateral surface area of the cylinder, which is the area of the curved side.
The formula for the area of a cylinder is:
A = 2πr^2 + 2πrh
Where A is the total surface area, r is the radius of the circular base, and h is the height of the cylinder.
To find the area of the cylinder, first, identify the radius and height of the cylinder. Then, plug in the values of these variables into the formula and solve the equation.
For example, if a cylinder has a radius of 5 cm and a height of 10 cm, we can find the area of the cylinder using the formula A = 2πr^2 + 2πrh.
A = 2π(5)^2 + 2π(5)(10)
A = 2π(25) + 2π(50)
A = 50π + 100π
A = 150π
Therefore, the area of the cylinder is 150π square centimeters.
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