The diameter of a sphere is measured as 42cm. If there is an error of 177 cm in measuring it, then the error involved in the volume of that sphere ( in cubic centimetres) is

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The diameter of a sphere is measured as 42cm. If there is an error of $\frac{1}{77} c m$ in measuring it, then the error involved in the volume of that sphere ( in cubic centimetres) is

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$\frac{24}{7}$

$\frac{36}{7}$

answer is C.

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Detailed Solution

$v = \frac{4}{3} π r^{3}$
$v^{1} = 4 π r^{2}$
$r = 21 c m$

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