Volume of a sphere


Given the radius, the volume of a sphere can be found by using the following formula:

Sphere with radius r
V = (4/3) × pi × r3

Use pi = 3.14

Example #1

Find Vsphere   if r = 2 inches

Vsphere = 4/3 × pi × r3

Vsphere = 4/3 × 3.14 × 23

Vsphere = 4/3 × 3.14 × 8

Vsphere = 4/3 × 25.12

Vsphere = 4/3 × 25.12/1

Vsphere = (4 × 25.12)/(3 × 1)

Vsphere = (100.48)/3

Vsphere = 33.49 inches3


Example #2

Find Vsphere   if r = 3 cm

Vsphere = 4/3 × pi × r3

Vsphere = 4/3 × 3.14 × 33

Vsphere = 4/3 × 3.14 × 27

Vsphere = 4/3 × 84.78

Vsphere = 4/3 × 84.78/1

Vsphere = (4 × 84.78)/(3 × 1)

Vsphere = (339.12)/3

Vsphere = 113.04 cm3


Example #3

Find Vsphere   if r = 2/3 cm

Vsphere = 4/3 × pi × r3

Vsphere = 4/3 × 3.14 × (2/3)3

Vsphere = 4/3 × 3.14 × 2/3 ×2/3 × 2/3

Vsphere = 4/3 × 3.14 × 8/27

Vsphere = 4/3 × 3.14/1 × 8/27

Vsphere = (4 × 3.14 × 8) / ( 3 × 1 × 27 )

Vsphere = (100.48)/(81)

Vsphere = 1.24 inches3





New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.


Page copy protected against web site content infringement by Copyscape

Recent Articles

  1. Dividing fraction worksheets generator

    Feb 16, 17 12:42 PM

    This dividing fraction worksheets generator will help you generate unlimited worksheets readility available to print

    Read More