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}

Jun 08, 17 01:52 PM
Learn quickly how to multiply using partial products
Read More
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.