The formula for volume of a sphere is [tex] \frac{4}{3} \pi r^{3} [/tex]
To get radius from diameter, we must divide it by 2. 10/2=5, meaning the radius is 5 in.
Now, we just need to plug the values into the equation.
[tex] \frac{4}{3} \pi 5^{3} = \frac{4}{3} \pi 125 = 166.67 \pi = 523.61 in^{3} [/tex]