The figure given is a sphere
A surface area of a sphere is given by
[tex]A=4\pi r^2[/tex]The diameter of the sphere is given to be 42 cm
The radius of the sphere is half the diameter =
[tex]r=\frac{42}{2}=21\operatorname{cm}[/tex]Substituting the value of r into the formula
[tex]\begin{gathered} A=4\times\pi\times21^2 \\ A=5541.8\operatorname{cm}^2 \end{gathered}[/tex]The correct answer is option A
