$C=4 \pi \varepsilon_0 r$
$1000 \cdot \frac{4}{3} \pi r^3=\frac{4}{3} \pi R^3$
$R=10 r$
$C^{\prime}=4 \pi \varepsilon_0 R=10\left(4 \pi \varepsilon_0 r\right)$
$C^{\prime}=10 C$



$K(x) = K_0 + \lambda x$ ( $\lambda =$ constant)
The capacitance $C,$ of the capacitor, would be related to its vacuum capacitance $C_0$ for the relation
