SOLUTION: three circles are stacked. 3 on the bottom row. Two on the 2nd row. and One on the top. Find the height of the stack if the radius of the circles are 10 cm

Algebra ->  Circles -> SOLUTION: three circles are stacked. 3 on the bottom row. Two on the 2nd row. and One on the top. Find the height of the stack if the radius of the circles are 10 cm      Log On


   

Question 745312: three circles are stacked. 3 on the bottom row. Two on the 2nd row. and One on the top. Find the height of the stack if the radius of the circles are 10 cm
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The red triangle is an equilateral triangle with side length 40cm (4 circle radii). Its height is the length of the altitude drawn in green:
%2810cm%29%2Asin%2860%5Eo%29=%2810cm%29%2A%28sqrt%283%29%2F2%29=about34.64cm (rounded)
To get the height of the whole stack, we have to add one circle radius below that altitude, and one circle radius above the altitude for a total length of
10cm%2B34.64cm%2B10cm=highlight%2854.64cm%29