Physics

# The radius of a sphere is $5$ cm. Its volume will be given by (according to the theory of significant figures) :

$5\ { \times\ { 10 }^{ 2 }cm }^{ 3 }$

##### SOLUTION
Volume$=\dfrac{4}{3}{\pi r}^{3}=\dfrac{4}{3}\times \pi \left ( 5 \right )^{3}=523.33\ {cm}^{3}$$=5.2333\times 10^{2}\ cm^{3}$
$\downarrow$
5 significant figures
Since radius has single significant figure, so, volume should also have single significant figure.
For single significant figure, we have to drop all after decimal.
$\Rightarrow$ Volume $= 5\times 10^{2}\ cm^{2}$ (if the digit to be dropped is less than 5, preceding digit is left unchanged)

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Single Correct Medium Published on 18th 08, 2020
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