The image shows a question from a Chegg test/screen: **Question:** Estimate the maximum diameter to which a thin walled spherical shell can be expanded, if the diameter of the shell prior to expansion is 180 mm and material has an allowable strain of 35 percentage. **Options:** - 743 mm - 6480 mm - Insufficient data - 243 mm --- ### **Solution:** **Given:** - Initial diameter (\(D_0\)) = 180 mm - Allowable strain (\(\epsilon\)) = 35% = 0.35 **Strain formula (for diameter):** \[ \epsilon = \frac{D_{max} - D_0}{D_0} \] \[ 0.35 = \frac{D_{max} - 180}{180} \] \[ 0.35 \times 180 = D_{max} - 180 \] \[ 63 = D_{max} - 180 \] \[ D_{max} = 243 \text{ mm} \] ### **Correct Answer:** **243 mm** (Option at line 8) --- If you need the step-by-step calculation breakdown or explanation, let me know!