If the height of a cylinder increases by 2 cm, its surface area will increase by 50.24 square cm. If the height decreases by 2 cm, it will be equal to the diameter of the bottom surface, and the volume of the cylinder will increase How many?

If the height of a cylinder increases by 2 cm, its surface area will increase by 50.24 square cm. If the height decreases by 2 cm, it will be equal to the diameter of the bottom surface, and the volume of the cylinder will increase How many?

What's added is a 2 cm high side area,
The perimeter is 50.24 △ 2 = 25.12 from the side area
The radius is: 25.12 △ 3.14 △ 2 = 4
The height is 4 × 2 + 2 = 10
Volume: 4 × 4 × 3.14 × 10 = 502.4 cm3