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प्रश्न
In the given figure, a cylindrical wrapper of flat tablets is shown. The radius of a tablet is 7 mm and its thickness is 5 mm. How many such tablets are wrapped in the wrapper?
उत्तर
Radius of a tablet, r = 7 mm
Thickness of a tablet, h = 5 mm
Radius of cylindrical wrapper, R = \[\frac{14}{2}\] = 7 mm
Height of wrapper (H) = 10 cm
= 10 × 10 mm
= 100 mm
Let n be the number of tablets wrapped in the wrapper.
\[n = \frac{\text{ Volume of the cylindrical wrapper} }{\text{ Volume of each tablet } }\]
\[ \Rightarrow n = \frac{\pi R^2 H}{\pi r^2 h}\]
\[ \Rightarrow n = \frac{\left( 7 \right)^2 \times 100}{\left( 7 \right)^2 \times 5} = 20\]
Thus, 20 tablets are wrapped in the wrapper.
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