Respuesta :
Answer: [tex]1436.03\ cm^3[/tex]
Step-by-step explanation:
The volume of sphere is given by :-
[tex]V=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of the sphere.
Given : Diameter of sphere = 14 centimeters
We know that the diameter of sphere 2 times the radius.
then, [tex]r=\dfrac{14}{2}=7\ cm[/tex]
Now, the volume of sphere will be :-
[tex]V=\dfrac{4}{3}(3.14)(7)^3\\\\\text{Simplify}\\\\\Righatrrow\ V=1436.02666667\approx1436.03\ cm^3[/tex]
Therefore, the volume of a sphere= [tex]1436.03\ cm^3[/tex]