There is a cylinder with a height of 10 cm. If you subtract 2 cm from its height, the surface area of the cylinder will be reduced by 12.56 square cm. What is the side area of the original cylinder? What is the volume of the original cylinder?

There is a cylinder with a height of 10 cm. If you subtract 2 cm from its height, the surface area of the cylinder will be reduced by 12.56 square cm. What is the side area of the original cylinder? What is the volume of the original cylinder?

12.56 divided by 2 = 6.28 (CM) Perimeter of bottom surface
6.28 * 10 = 62.8 (cm2) Lateral area
6.28 divided by 2 divided by 3.14 = 1 (CM) Bottom radius
1 * 1 * 3.14 = 3.14 (square centimeter) Floor area
3.14 * 10 = 31.4 (cm3) volume