A machinist bores a hole of diameter 1.35 $mathrm{cm}$ in a steel plate at a temperature of $25.0^{circ} mathrm{C}$ . What is the cross-sectional area of the bole $(mathrm{a})$ 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 17.26 .