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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?
can you find the volume in cubic mm?
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
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
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so I would do: \[\frac{4}{3} \pi (3.5)^3 \cdot 10^{-9} m^3\cdot \frac{1 nm^3}{10^{-27} m^3}\]
phi, the diameter is 3.5, not the radius... :|
tweaked \[ \frac{4}{3} \pi (3.5/2)^3 \cdot 10^{-9} m^3\cdot \frac{1 nm^3}{10^{-27} m^3} \]