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






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