SOLUTION
The figure given is a sphere, and we want to find the surface area. The diameter of the sphere has been given as 11 cm.
Surface area of a sphere is found using the formula
[tex]\begin{gathered} S.A=4πr^2 \\ where\text{ r = radius = }\frac{diameter}{2}=\frac{11}{2}=5.5 \end{gathered}[/tex]
Putting in the values of pi and radius r into the formula, we have the surface area S.A as
[tex]\begin{gathered} S.A=4πr^2 \\ =4\times\pi\times5.5^2 \\ =380.13271108\text{cm}^2 \end{gathered}[/tex]
Hence the answer is 380.13 square-centimeter to the nearest hundredth
