vibhormittal360 SaysThere are 3 balls in a plane touching each other equally and above it another ball placed touching all the balls equally, we have the find the distance of the bottom of the above ball to the ground...how can this problem be solved???
Three balls touching each other can placed like
consider these connected to each other, And a ball is above in the center,
now the ball center from earth above earth is radius of any ball.
now the centers of 3 balls makes the equilateral triangle.
try to imagine a ball above it...
if you keep a ball above it
it will take a shape like pyramid. base is Equi. triangle and top is in middle
if we draw a perpendicular on the triangle it will meet centroid. so centroid is 2/3 of perpendicular inside the triangle.
Now you need to again apply one time for hight.
than hight+ radius is your answer.
I hope I am pretty clear on that.