what diameter tube do I need

Question

I have 6 wood 2x4 boards and 10 1x2 boards I want to put all the boards in a pipe or tube to store them I need to get them in and out easily what diameter tube or pipe do I need?

Answer 1

6 times 2" height x 4" width is 12" high and 4" wide

10 times 1" height x 2" width is 10" high and 2" wide

So when stacked your pile of lumber is 22" high and max 4" wide

So the rectangular area of the lumber if squared off is 88 square inches.

The circular end of the pipe or tube must accomodate this area.

So pi*radius^2 >= 88

I will use pi=22/7.

22/7 * radius^2 = 88

22 * radius^2 = 88 * 7 <--- multiplies both sides by 7

radius^2 = 88 * 7 /22 <-- divides both sides by 22

radius^2 = 4 * 7 <-- 88/22 = 4 (cool, neat, awesome choice for pi)

radius ^2 = 28

radius = square-root(28)

radius = 5.2915

diameter = 10.583

So you need a pipe or tube with diameter of 10 5/8" or bigger.