If the curved surface area of a closed cylinder is 225 cm² and the area of its base is 169 cm² , then find the total surface area of the cylinder.

563 cm²

We already know that,

Curved surface area of cylinder = 2πrh

Area of the base = πr²

Total surface area of cylinder = 2πr(r+h)

we have,

Curved surface Area = 225 cm²

Area of base = 169 cm²

We also know that

= Total surface area = 2×πr²+2πrh

= Total surface area = 2 × 169 + 225

= Total surface area = 338 + 225 = 563 cm²