Answer:
Option C. [tex]784\pi\ units^{2}[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> surface area of the sponge ball
y----> surface area of a plastic ball
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=2[/tex]
[tex]y=196\pi\ units^{2}[/tex]
substitute and solve for x
[tex]2^{2}=\frac{x}{196\pi}[/tex]
[tex]x=4*(196\pi)=784\pi\ units^{2}[/tex]
