Wednesday 19 September, 2007

The Conical Funnel



I have a conical funnel similar to the one used in the Chemistry laboratory, but a bit different. I put into it 5 marbles of different sizes. The marbles are such that they touch each other and the wall of the funnel, but the lower-most marble does not fall out. Find the amount of water the middle marble (3rd from top) can hold if it is hollow. Assume its inner radius to be equal to its outer radius. The radii of the uppermost and lowermost marble are 18 mm and 8 mm respectively.

Level: Easy-Medium

2 comments:

"Sajal" said...

i think the answer is 4(pi)(12)^3,ie, the radius is 12.
I have calculated it as follows:
(8*18)^1/2=r
this implies r=12mm

Ananth said...

can you give the working behind your "formula"?