Respuesta :
Answer: [tex]523.33\ mm^3[/tex]
Step-by-step explanation:
We know that the volume of sphere is given by :-
[tex]\text{Volume}=\frac{4}{3}\pi r^3[/tex], where r is the radius of sphere.
Given: The length of the dotted line extending from middle point of sphere to edge must be the radius of the sphere.
Now, radius of the sphere = 5 mm
The volume of the given sphere will be :-
[tex]\text{Volume}=\frac{4}{3}\pi (5)^3\\\\\Rightarrow\ \text{Volume}=\frac{4}{3}(3.14)(125)\\\\\Rightarrow\ \text{Volume}=523.3333\approx523.33\ mm^3[/tex]