A Python solution to both questions using Thonny.

Problem 2 A spherical water tank has a radius R=4 m and is emptied through a circular hole of radius r = 0.2 m at the bottom. The top of the tank is open to the atmosphere. The instantaneous water level h in the tank can be determined by the following first order differential equation. dh r22gh 2hR-h2 dt where g = 9.81 m/s/s. The water level at t = 0 is 6 m. Find the water height at 0.2 s. 0.4 s, and 0.6 s using the Euler first order explicit method. Problem 3 A thin hot plate is taken out of an oven and is exposed to the surrounding air. It cools due to heat loss by convection and radiation. The rate at which the plate's temperature T is changing is: d A pvc (oe (T* T) + h(T To)) dt where A = 0.25 m, p= 300 kg/m, V = 0.003 m? C = 900 J/kg/K, = 0.8,0 = 5.67 x 10-8 W/m/K4, h = 30 W/m/K, and Tg = 298 K. -- Find the temperature at 5 S, 10 s, and 15 s when the initial temperature is 673 K