SOLUTION: A drop of water is spherical and 1/10 in. in diameter. Calculate depth of a hollow cylinder, base is 1/2 in. radius, 1000 drops fill. Vol. of sphere - 4/3 * 22/7 * r^3. Vol.

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Question 1104975: A drop of water is spherical and 1/10 in. in diameter. Calculate depth of a hollow cylinder, base is 1/2 in. radius, 1000 drops fill.
Vol. of sphere - 4/3 * 22/7 * r^3.
Vol. of hollow cylinder - pi/144 L(R^2 - r^2)cu. ft.
Not sure from this. Non- homework.
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If it's not homework, why are you doing this?

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Note, for the diameter of 1%2F10, the radius will be half this, so 1%2F20.


One drop
%284%2F3%29pi%2A%281%2F20%29%5E3
%284pi%29%2F%283%2A8000%29
highlight%28pi%2F6000%29, cubic inches


1000 of these drops
%28pi%2F6000%29%2A1000

highlight%28pi%2F6%29, cubic inches


How high, in a cylinder of radius 1%2F2 inch?
Let h be how high in this cylinder.
You already calculated the volume value.
highlight%28highlight_green%28h%2Api%2A%281%2F2%29%5E2=pi%2F6%29%29
You just need to finish, solve for h.