The volume of a sphere can be found using the equation:
V = 4/3 pi r^3
Since we are only given the diameter and not the radius, we must divide the diameter by 2 to get the radius:
5 / 2 = 2.5 or 5/2
now plug this into the volume equation:
V = 4/3 pi (5/2)^3
Solve this in steps:
(5/2)^3 = 125/8
Multiply this by 4/3:
4/3 • 125/8 = 125/6
Now times pi:
125/6 • pi = 125pi/6 cm^3
And simplified:
65.45 cm^3
Your answers are:
Exact: 125pi/6 cm^3
Approx: 65.45 cm^3