A cylinder has a surface area of 408.2 square decimeters and a radius of 5 decimeters. How many square decimeters is the volume of the cylinder?

A cylinder has a surface area of 408.2 square decimeters and a radius of 5 decimeters. How many square decimeters is the volume of the cylinder?

3.14 * 5 & # 178; × 2 = 157 (square decimeter)
408.2-157 = 251.2 (square decimeter) Lateral area
3.14 * 5 * 2 = 31.4 (decimeter) Perimeter of bottom surface
251.2 △ 31.4 = 8 (decimeter) high
14 * 5 & # 178; × 8 = 628 (cubic decimeter) volume