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hemisphere calculator - step by step calculation, formulas & solved example problem to find the surface area & volume of a hemi-sphere for the given radius value in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, hemi-sphere is one half of a sphere. The hemisphere 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 hemisphere calculator uses the various conversion functions to find its surface area & volume in SI or metric or US customary units.
The following mathematical formulas are used in this hemisphere calculator to find the surface area & volume of a hemi-sphere
The below solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the surface area & volume of a hemisphere.
Example Problem :
Find the surface area & volume of a hemisphere having the radius of 7 cm?
Solution :
The given values
radius r = 7 cm
Step by step calculation
formula to find surface area = 2 π r^{2}
substitute the values
= 2 x π x 7^{2}
= 308 cm^{2}
formula to find the volume = (2/3) π r^{3}
substitute the values
= (2/3) x π x 7^{3}
= 718.66 cm^{3}
The surface area & volume of a hemisphere may required to be calculated in SI or metric or US customary unit systems, therefore this hemisphere 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 surface area & volume of a hemi-sphere is important to understand basic computations. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate hemi-sphere's surface area & volume manually, however, when it comes to online to perform quick calculations, this hemi-sphere calculator may be useful to find the results.
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