The height of the cylinder increases by 3 cm, and the surface area increases by 18.84 square cm. If the original height of the cylinder is 10 cm, what is the original volume of the cylinder? (the problem should be solved in detail)

The height of the cylinder increases by 3 cm, and the surface area increases by 18.84 square cm. If the original height of the cylinder is 10 cm, what is the original volume of the cylinder? (the problem should be solved in detail)

18.84 △ 3 = 6.28cm
6.28 ﹣ 3.14 ﹣ 2 = 1cm
1 × 1 × 3.14 × 10 = 31.4 cm3