Figure 3 shows the vertical cross section through a mylar balloon. That section shows the generating curve for a rotational surface. The upper portion of the balloon is a perfect sphere, while the bottom portion is a cone. Assuming a pressure difference Ap = Pi - Po = 0.15 kPa, find the membrane forces ns = t, and no that the membrane needs to withstand. = toe Figure 3: . 1. Find membrane forces in the spherical portion. Verify that your answer is in agreement with the spherical pressure vessel formulas you've learned in previous courses. 2. Find membrane stresses in the conical portion. Remember that the radius of curvature, R, for a circle at s = cost. is the radius of the sphere touching that circle and tangent to the generating curve. 3. Use Matlab or python to plot the membrane forces overs (the length along the dark line).