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cylinder calculator - step by step calculation, formulas & solved example problem to find the volume & the base, total & lateral surface area of a cylinder for the given base radius & height value in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, cylinder is a solid or hollow figure with round ends and long straight sides. The cylinder formulas, solved example & step by step calculations may useful for users to understand how the input values are being used in such calculations. Also this featured cylinder calculator uses the various conversion functions to find its area, volume & slant height in SI or metric or US customary units.
The following mathematical formulas are used in this cylinder calculator to find the volume & the base, total & lateral surface area of a cylinder for the given base radius & height values.
The below solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the volume & the base, total & lateral surface area of a cylinder for the given base radius & height values.
Example Problem :
Find the volume & the base, total & lateral surface area of a cylinder having the base radius & height of 18 cm & 27 cm respectively?
Solution :
The given values
base radius r = 18 cm
height h = 27 cm
Step by step calculation
formula to find volume = π r^{2} h
substitute the values
= π x 18^{2} x 27
= 27493.71 cm^{3}
formula to find total surface area = 2 π r (h + r)
substitute the values
= 2 x π x 18 x (27 + 18)
= 5091.42 cm^{2}
formula to find base surface area = π r^{2}
substitute the values
= π x 18^{2} x 27
= 1018.28 cm^{2}
formula to find lateral surface area = 2 π r h
substitute the values
= 2 x π x 18 x 27
= 3054.85 cm^{2}
The volume & the base, total & lateral surface area of a cylinder may required to be calculated in SI or metric or US customary unit systems, therefore this cylinder calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm) by using this below conversion table.
10 mm = 1 cm 100 mm = 3.93 in 1000 mm = 3.28 ft 1000 mm = 1 m |
1 cm = 10 mm 10 cm = 3.93 in 100 cm = 3.28 ft 100 cm = 1 m |
1 ft = 3048 mm 1 ft = 304.8 cm 1 ft = 12 in 10 ft = 3.048 m |
1 in = 25.4 mm 1 in = 2.54 cm 100 in = 8.33 ft 100 in = 2.54 m |
In the field of area & volume calculations, finding the volume & surface area of cylinder is very important to understand the element of basic mathematics. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate the volume & surface area of cylinder manually, however, when it comes to online to perform quick calculations, this cylinder calculator may be useful to find the results.
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