Volume of a sphere

Given the radius, the volume of a sphere can be found by using the following formula: V = (4/3) × pi × r³ and you can use pi = 3.14

Example #1

Find V_sphere   if r = 2 inches

V_sphere = 4/3 × pi × r³

V_sphere = 4/3 × 3.14 × 2³

V_sphere = 4/3 × 3.14 × 8

V_sphere = 4/3 × 25.12

V_sphere = 4/3 × 25.12/1

V_sphere = (4 × 25.12)/(3 × 1)

V_sphere = (100.48)/3

V_sphere = 33.49 inches³


Example #2

Find V_sphere   if r = 3 cm

V_sphere = 4/3 × pi × r³

V_sphere = 4/3 × 3.14 × 3³

V_sphere = 4/3 × 3.14 × 27

V_sphere = 4/3 × 84.78

V_sphere = 4/3 × 84.78/1

V_sphere = (4 × 84.78)/(3 × 1)

V_sphere = (339.12)/3

V_sphere = 113.04 cm³


Example #3

Find V_sphere   if r = 2/3 cm

V_sphere = 4/3 × pi × r³

V_sphere = 4/3 × 3.14 × (2/3)³

V_sphere = 4/3 × 3.14 × 2/3 ×2/3 × 2/3

V_sphere = 4/3 × 3.14 × 8/27

V_sphere = 4/3 × 3.14/1 × 8/27

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

V_sphere = (100.48)/(81)

V_sphere = 1.24 inches³