nilankshi
  • nilankshi
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm.how much medicine (in nm^3 )is needed to fill this capsule?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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nilankshi
  • nilankshi
help mee plzz.....
phi
  • phi
can you find the volume in cubic mm?
nilankshi
  • nilankshi
yes.

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phi
  • phi
1 cubic nm = 1 nm^3 = 1e^-27 m^3 1 mm= 1e-3 m and 1 mm^3 (cubic mm) = 1e-9 m^3
sasogeek
  • sasogeek
volume of a sphere is \[\huge \frac{4}{3}\pi r^3 \] diameter is 3.5, implying that radius is 1.75, substitute and u have a value in mm^3, then convert to nm^3
anonymous
  • anonymous
22.458 mm^3
anonymous
  • anonymous
What factors cause mechanical weathering? Explain why chemical weathering occurs faster in hot, wet climates than in cool, dry climates. What role does weathering play in the formation of soil? How did settlers on the Great Plains help create the Dust Bowl? Describe two techniques that farmers use to conserve soil.
phi
  • phi
so I would do: \[\frac{4}{3} \pi (3.5)^3 \cdot 10^{-9} m^3\cdot \frac{1 nm^3}{10^{-27} m^3}\]
sasogeek
  • sasogeek
phi, the diameter is 3.5, not the radius... :|
phi
  • phi
* 3.5/2
phi
  • phi
tweaked \[ \frac{4}{3} \pi (3.5/2)^3 \cdot 10^{-9} m^3\cdot \frac{1 nm^3}{10^{-27} m^3} \]

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