Area of a Cylinder
πr² + πr² + h•2πr
The area of a cylinder is a measurement of the total surface area of the cylinder. The surface area of a cylinder is made up of two circles, one at each end, and a rectangular shape in the middle. To find the area of a cylinder, you need to know the radius of the circular base and the height of the cylinder.
The formula for finding the area of a cylinder is:
Area = 2πr(r+h)
Where:
– r is the radius of the circular base of the cylinder
– h is the height of the cylinder
– π (pi) is a mathematical constant with an approximate value of 3.14
To use this formula, first, calculate the area of each circle at the end of the cylinder, which is πr². Then, multiply the area of the circle by two (since there are two circles), and add the area of the rectangular shape in the middle, which is 2πrh, to get the total surface area.
Alternatively, you can use this simplified formula to find the area of a cylinder:
Area = πd(h + d)
Where:
– d is the diameter of the circular base
This formula works because the diameter of a circle is twice the radius (d = 2r), so substituting d/2 for r in the first formula gives:
Area = 2π(d/2)(d/2+h) = πd(h + d)
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