diameter of sphere =d=6cm

Radius = r=d/2 =6/2 =3cm

the total surface area of sphere = 4\(\pi\)r^{2}

=4\(\times\)3.14\(\times\)3^{2}

=4\(\times\)3.14\(\times\)9

=36\(\times\)3.14

=113.04 cm^{2}

Therefore the total surface area of sphere= 113.04 cm^{2}