we know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=200.96 cm²
so
r=√[200.96/(4*pi)]------> r=4 cm
volume of a sphere=(4/3)*pi*r³-----> (4/3)*pi*4³----> 268.08 cm³
the answer is
the approximate volume of the sphere is 268.08 cm³