Volume of a cylinder=$$pi imes r^{2} imes h$$
where $$r$$ and $$h$$ are the radius and height of the cylinder.
$$pi imes r^{2} imes h$$ = $$616 m^{3}$$
Curved Surface Area of Cylinder=$$2 imes pi imes r imes h$$=$$352 m^{2}$$
$$pi imes r imes h$$=$$176$$
Replacing $$pi imes r imes h$$ in Volume formula we get,
$$ r imes 176$$=$$616$$
$$r=3.5 m$$
Total Surface Area = Curved Surface Area + 2$$ imes$$ Area of base
=$$352 + 2 imes pi imes r^{2}$$
=$$352 + 2 imes pi imes 3.5^{2}$$
=$$352+77$$
=$$429 m^{2}.$$
Hence Option A is the correct answer.