A machinist bores a hole of diameter 1.35 cm in a steel plate at a temperature of $25.0^{circ} mathrm{C}$ . What is the cross-sectional area of the hole (a) at $25.0^{circ} mathrm{C}$ and $(mathrm{b})$ when the temperature of the plate is increased to $175^{circ} mathrm{C}$ ? Assume that the coefficient of linear expansion remains constant over this temperature range. (Hint: See
Exercise $17.20.$)