A cylinder, the sum of its two bottom areas is equal to the side area. Always its surface area is 56 square decimeters, find the volume

A cylinder, the sum of its two bottom areas is equal to the side area. Always its surface area is 56 square decimeters, find the volume


Side area = 56 / 2 = 28 square decimeters
Bottom area: 28 / 2 = 14 square decimeters
Bottom radius: √ (14 / 3.14) = 2.11 decimeters
Bottom perimeter: 3.14 * 2 * 2.11 = 13.2508 decimeters
Height: 28 / 13.2508 = 2.11 decimeters
Volume: 14 * 2.11 = 29.54 cubic decimeter



A cylinder, the sum of its two bottom areas is equal to the side area. Known that its surface area is 56 square decimeters, find its volume


The sum of the two bottom areas is
56 △ 2 = 28 square decimeters
What's the bottom area
28 △ 2 = 14 square decimeters
The volume is
14 × 6 = 84 cubic decimeter