Answer:2,715.4[tex]cm^{3}[/tex]
Step-by-step explanation:
[tex]\\[/tex]The formula for finding the volume of a sphere is give as
[tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex] , where r is the radius. To get the radius divide the diameter by 2 , that is
[tex]\\[/tex] r = [tex]\frac{12}{2}[/tex]
[tex]\\[/tex] = 6cm
[tex]\\[/tex]substituting into the formula for calculating volume , we have
[tex]\\[/tex]V = [tex]\frac{4}{3}[/tex]×[tex]\frac{22}{7}[/tex]×[tex]6^{3}[/tex]
[tex]\\[/tex] = [tex]\frac{19008}{7}[/tex]
[tex]\\[/tex]= 2715.4286
[tex]\\[/tex]≈ 2715.4[tex]cm^{3}[/tex]
