Question

answer the following questions​

Answer 1

$\huge{\bold{\underline{\underline{....Answer....}}}}$

$\huge{\bold{\underline{Given:-}}}$

$\huge{ \Delta l = 1mm = 0.1 cm}$

$\large{ \Delta r = 0.1mm = 0.01 cm}$

$\huge{\bold{\underline{Explanation:-}}}$

$\large{\bold{Volume = \pi \: r^2 l}}$

Applying error equation to volume.

$\large{ \frac{ \Delta V}{V} = 2 \times \frac{ \Delta r }{r} + \frac{ \Delta l}{l}}$

Substituting the values.

$\large{ \frac{ \Delta V}{V} = 2 \times \frac{ 0.01 }{1} + \frac{0.1}{100}}$

$\large{ \frac{ \Delta V}{V} = \frac{2}{100} + \frac{0.1}{100}}$

$\large{ \frac{ \Delta V}{V} = \frac{2.1}{100}}$

$\large{ Percentage \: error = \frac{2.1}{100} \times 100 }$

$\large{ Percentage \: error = 2.1 \%}$

So, percentage error is 2.1 %.