Solved Examples on Surface Area of a Cylinder Calculator
1. Find the surface area of a cylinder with a radius of 6 inches and a height of 15 inches.
The formula for the surface area of a cylinder is:
Surface Area = 2π(radius × height) + 2π(radius^2)
Substituting the given values:
Surface Area = (2π(6/15)) + 2π(6^2)
Surface Area = (2π(90)) + 2π(36)
Surface Area = (180π) + 72π
Surface Area = 252π square inches
2. Calculate the surface area of a cylinder with a radius of 8 centimeters and a height of 12 centimeters.
Using the same formula:
Surface Area = 2π(radius × height) + 2π(radius^2)
Substituting the given values:
Surface Area = (2π(8/12)) + 2π(8^2)
Surface Area = (2π(96)) + 2π(64)
Surface Area = (192π) + 128π
Surface Area = 320π square centimeters
3. Determine the surface area of a cylinder with a radius of 10 meters and a height of 25 meters.
Again, using the same formula:
Surface Area = 2π(radius × height) + 2π(radius^2)
Substituting the given values:
Surface Area = (2π(10/25)) + 2π(10^2)
Surface Area = (2π(250)) + 2π(100)
Surface Area = (500π) + 200π
Surface Area = 700π square meters
Surface Area of a Cylinder Calculator – Free Online Calculator
Surface Area of a Cylinder Calculator: A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface. Surface area refers to the total area of all the surfaces of a three-dimensional object. In the case of a cylinder, this includes the area of both circular bases and the curved surface that connects them. Calculating the surface area provides valuable insights into the amount of material needed to cover the cylinder and its overall geometry. This w3wiki free online calculator simplifies the process and saves you valuable time. Whether you’re a student studying geometry or a professional needing quick calculations for a project, Surface area of a cylinder calculator has you covered.
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