Volume of a sphere
Given the radius, the volume of a sphere can be found by using the following formula:
V = (4/3) × pi × r
^{3} and you can
use pi = 3.14
Example #1
Find V
_{sphere} if r = 2 inches
V
_{sphere} = 4/3 × pi × r
^{3}
V
_{sphere} = 4/3 × 3.14 × 2
^{3}
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 inches
^{3}
Example #2
Find V
_{sphere} if r = 3 cm
V
_{sphere} = 4/3 × pi × r
^{3}
V
_{sphere} = 4/3 × 3.14 × 3
^{3}
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 cm
^{3}
Example #3
Find V
_{sphere} if r = 2/3 cm
V
_{sphere} = 4/3 × pi × r
^{3}
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 inches
^{3}

Apr 02, 19 05:34 PM
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