Write a MATLAB program that determines the radius, r, of the largest sphere that can be inscribed inside a cone with base radius R and height h. For input the program asks the user to enter values for R and h. The program then calculates r rounded to the nearest tenth. For output the program displays the message: "The radius of the largest sphere that can be inscribed inside a cone with a base radius of ** in. and height of *** in., is: in." where **/***/ are the corresponding numerical values. Use the program to determine r for a cone with R = 8 in. and h = 22 in.

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj