Step-by-step explanation:
Diameter=10cm
Radius=Diameter/2=10/2=5cm
Now
[tex]\boxed{\sf Volume\:of\: Sphere=\dfrac{4}{3}\pi r^3}[/tex]
[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{4}{3}\times \dfrac{22}{7}\times 5^3[/tex]
[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{88}{21}\times 125[/tex]
[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{11000}{21}[/tex]
[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=523.8[/tex]
[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=524units^3(Approx)[/tex]