Step 1: For dilution, the number of moles before and after dilution remains constant.
\[
M_1V_1=M_2V_2
\]
Step 2: Given:
\[
M_1=0.1\,M
\]
\[
V_1=x\,ml
\]
\[
M_2=0.01\,M
\]
\[
V_2=250\,ml
\]
Step 3: Substitute in the dilution formula:
\[
0.1 \times x = 0.01 \times 250
\]
Step 4: Solve:
\[
0.1x=2.5
\]
\[
x=\frac{2.5}{0.1}
\]
\[
x=25
\]
Step 5: Therefore, the required volume is:
\[
\boxed{25\,ml}
\]