Question

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?

Answer 1

help mee plzz.....

Answer 2

can you find the volume in cubic mm?

Answer 3

yes.

Answer 4

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

Answer 5

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

Answer 6

22.458 mm^3

Answer 7

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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?
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Describe two techniques that farmers use to conserve soil.

Answer 8

so I would do:
\[\frac{4}{3} \pi (3.5)^3 \cdot 10^{-9} m^3\cdot \frac{1 nm^3}{10^{-27} m^3}\]

Answer 9

phi, the diameter is 3.5, not the radius... :|

Answer 10

* 3.5/2

Answer 11

tweaked
\[ \frac{4}{3} \pi (3.5/2)^3 \cdot 10^{-9} m^3\cdot \frac{1 nm^3}{10^{-27} m^3} \]