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








Page copy protected against web site content infringement by Copyscape

Recent Articles

  1. Average age word problem

    Aug 09, 16 01:40 PM

    Average age of Dipu and Apu is 22 years. Average age of Dipu and Tipu is 24 years. Age of Dipu is 21 years. What are the ages of Apu, and tipu ? Let

    Read More



New math lessons

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