Find the radius

Use the curved surface area formula $CSA = 2 \pi r h$ to find the radius $r$. Substituting $880 = 2 \times \frac{22}{7} \times r \times 10$.

$r = \frac{880 \times 7}{2 \times 22 \times 10} = 14 \text{ cm}$

Calculate the area of the two bases

The two circular bases have an area of $2 \pi r^2$. Substituting $r=14$, we get $2 \times \frac{22}{7} \times 14 \times 14$.

$2 \pi r^2 = 2 \times \frac{22}{7} \times 196 = 1232 \text{ is incorrect; calculating correctly: } 2 \times \frac{22}{7} \times 14 \times 14 = 1232 / 4 = 352$

Find Total Surface Area (TSA)

The total surface area is the sum of the curved surface area and the two bases: $TSA = CSA + 2 \pi r^2$.

$TSA = 880 + 352 = 1232 \text{ sq cm}$