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PRACTICE / Density

Eight drops become one

Eight identical spherical liquid drops, each of radius 1 mm, merge without loss of liquid.

Find the radius of the final spherical drop.

Organize the givens & assumptions
  • N = 8
  • r = 0.001 m

Eight spherical incompressible drops merge into one sphere; no liquid evaporates or is lost.

  1. A0.008 m0.008\ \mathrm m
  2. B0.001 m0.001\ \mathrm m
  3. C8×10−3 m\sqrt8\times10^{-3}\ \mathrm m
  4. D0.002 m0.002\ \mathrm m

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