How to Find the Volume of Spheres? (+FREE Worksheet!)

\(V=\frac{4}{3}\times π\times r^3\)

In fact, in this relation \(V\) represents the volume of the sphere, and \(r\) symbolizes the radius of the sphere in question.

Finding Volume of Spheres – Example 1:

Find the volume of a sphere whose radius is \(5 cm\). \((π=3.14)\)

Solution: Given: radius, \(r=5 cm\)

The volume of a sphere formula: \(V=\frac{4}{3}\times π\times r^3\)

\(r=5 cm→V=\frac{4}{3}\times π\times r^3=\frac{4}{3}\times 3.14\times (5)^3=523.33 cm^3\)

Finding Volume of Spheres – Example 2:

Find the volume of a sphere whose diameter is \(22 cm\). \((π=3.14)\)

Solution: Given, diameter: \(22 cm\)

Then: radius \(=\frac{diameter}{2}=\frac{22cm}{2}=11 cm\)

The volume of a sphere formula: \(V=\frac{4}{3}\times π\times r^3\)

\(r=11 cm→V=\frac{4}{3}\times π\times r^3=\frac{4}{3}\times 3.14\times (11)^3=5,572.45 cm^3\)

Finding Volume of Spheres – Example 3:

Find the volume of a sphere whose radius is \(2 ft\). \((π=3.14)\)

Solution: Given: radius, \(r=2 ft\)

The volume of a sphere formula: \(V=\frac{4}{3}\times π\times r^3\)

\(r=2 ft→V=\frac{4}{3}\times π\times r^3=\frac{4}{3}\times 3.14\times (2)^3=33.49 ft^3\)

Finding Volume of Spheres – Example 4:

Find the volume of a sphere whose diameter is \(50 ft\). \((π=3.14)\)

Solution: Given, diameter: \(50 ft\)

Then: radius \(=\frac{diameter}{2}=\frac{50ft}{2}=25 ft\)

The volume of a sphere formula: \(V=\frac{4}{3}\times π\times r^3\)

\(r=25 ft→V=\frac{4}{3}\times π\times r^3=\frac{4}{3}\times 3.14\times (25)^3=65,416.67 ft^3\)

Exercises for Finding Volume of Spheres

Find the volume of each sphere. \((π=3.14)\)

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1. \(\color{blue}{radius=3.5 ft}\)
2. \(\color{blue}{diameter=13 cm}\)
3. \(\color{blue}{radius=13 cm}\)
4. \(\color{blue}{diameter=14 ft}\)
5. \(\color{blue}{radius=19 ft}\)
6. \(\color{blue}{diameter=54 ft}\)

1. \(\color{blue}{V=179.5 ft^3}\)
2. \(\color{blue}{V=1,149.76 cm^3}\)
3. \(\color{blue}{V=9,198.11 cm^3}\)
4. \(\color{blue}{V=1,436.03 ft^3}\)
5. \(\color{blue}{V=28,716.35 ft^3}\)
6. \(\color{blue}{V=82,406.16 ft^3}\)

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