Answer: [tex]523.33\ in.^3[/tex]
Step-by-step explanation:
We know that the volume of a sphere is given by :-
[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of the sphere.
Given : The diameter of the sphere = 10 in.
Then, the radius of the sphere=[tex]\dfrac{10}{2}=5\ in.[/tex]
Now, the volume of the sphere will be :-
[tex]\text{Volume}=\dfrac{4}{3}(3.14) (5)^3\\\\\Rightarrow\ \text{Volume}=523.333333\approx523.33\ in.^3[/tex]
