Sphere Surface Area & Volume Calculator, Formulas & Solved Example



Sphere Surface Area & Volume Calculator


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sphere calculator - step by step calculation, formulas & solved example problem to find the surface area & volume of a sphere for the given input value of radius in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, sphere is a solid figure that is completely round, with every point on its surface has an equal distance from its centre. The sphere 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 sphere calculator uses the various conversion functions to find its surface area & volume in SI or metric or US customary units.

Sphere & its Formulas

The following mathematical formulas are used in this sphere calculator to find the surface area & volume of a sphere

formula to find sphere surface area & volume

Solved Example

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 sphere.

Example Problem :
Find the surface area & volume of a sphere having the radius of 9 cm?

Solution :
The given values
radius r = 9 cm

Step by step calculation
formula to find surface area = 4 π r2
substitute the values
= 4 x π x 92
= 1018.28 cm2

formula to find volume = (4/3) π r3
substitute the values
= (4/3) x π x 93
= 3054.85 cm3

The surface area & volume of a sphere may required to be calculated in SI or metric or US customary unit systems, therefore this sphere 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 a sphere is important to understand basic mathematical computations. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate sphere's volume & sector area manually, however, when it comes to online to perform quick calculations, this sphere calculator may be useful to find the results.



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