Answer
$k=1.1$, $y=\frac{1.1}{x^{2}}$
Work Step by Step
Since $y$ varies inversely as the square of $x$, then, $
y=\dfrac{k}{x^2}
.$ Substituting the given values of the variables, then the value of $k$ is,
\begin{array}{l}
0.011=\dfrac{k}{10^2}
\\\\
0.011=\dfrac{k}{100}
\\\\
0.011(100)=k
\\\\
1.1=k
\\\\
k=1.1
.\end{array}
