The circumference and height of the bottom surface of a cylinder are equal. If the height is shortened by 2 cm, the surface area will be reduced by 12.56 square cm. Find the surface area of the cylinder

The circumference and height of the bottom surface of a cylinder are equal. If the height is shortened by 2 cm, the surface area will be reduced by 12.56 square cm. Find the surface area of the cylinder

The circumference of the bottom surface (also the height of the cylinder): 12.56 △ 2 = 6.28 (CM), the side area: 6.28 × 6.28 = 39.4384 (square cm), the two bottom areas: 3.14 × (6.282 × 3.14) 2 × 2 = 6.28 (square cm), so the surface area: 39.4384 + 6.28 = 45.7184 (square cm), a: the surface area of the cylinder is 45.7184 square cm