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

How to Find the Volume of Spheres? (+FREE Worksheet!) is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

(V=frac{4}{3}times πtimes 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 πtimes r^3)

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

(r=11 cm→V=frac{4}{3}times πtimes r^3=frac{4}{3}times 3.14times (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 πtimes r^3)

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

(r=25 ft→V=frac{4}{3}times πtimes r^3=frac{4}{3}times 3.14times (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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$109.99 Original price was: $109.99.$54.99Current price is: $54.99.