SOLUTION: An open Bin has Top Dia=550 mm; Bottom Dia=470 mm; height=800 mm. What would its diameters be at height 200 mm from base, at 400 mm from base and at 600 mm from base. Will appre

Algebra ->  Volume -> SOLUTION: An open Bin has Top Dia=550 mm; Bottom Dia=470 mm; height=800 mm. What would its diameters be at height 200 mm from base, at 400 mm from base and at 600 mm from base. Will appre      Log On


   



Question 1009705: An open Bin has Top Dia=550 mm; Bottom Dia=470 mm; height=800 mm. What would its diameters be at height 200 mm from base, at 400 mm from base and at 600 mm from base.
Will appreciate your reply.
Thanks & regards.
Deepak

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

top diameter d=550mm
bottom diameter d=470mm
heighth=800mm

an open bin is in the form of a truncated pyramid, and a diagonal cross-section is in the form of an isosceles trapezoid
at h=400mm which is 1%2F2 of total height,
its diameter should be equal to the mid-segment of a trapezoid and its length should be equal equal to the average of the length of the bases
so, at 400mm its diameter is %28550mm%2B470mm%29%2F2=510mm
at height 200mm from base, its diameter is an average of the length of the bottom base and mid-segment base: %28470mm%2B510mm%29%2F2=490mm
and, at 600mm from base its diameter is an average of the length of the top base and mid-segment base: %28550mm%2B510mm%29%2F2=530mm