A cylinder, the sum of its two bottom areas is equal to the side area, known its surface area is 56 square decimeters, find its volume I forgot all about the kids

A cylinder, the sum of its two bottom areas is equal to the side area, known its surface area is 56 square decimeters, find its volume I forgot all about the kids


To find the volume, we need to know the bottom area and the height,
Surface area of cylinder = upper ground + lower bottom + side area
Let the ground be x, then:
56=x+x+2x
The solution is x = 14
The bottom is 14
Bottom area = square of radius x π
Then:
14=r*r*3.14
Find out the radius, find out the perimeter, the perimeter is the length of the side area, you can find out the height, the bottom area (14) times the height is the volume, sorry, no calculator, can't work out the answer