Question

7. If the radius of a cylinder is increased by 25% and its height remains unchanged. then find the per cent increase in volume.

Answer 1

please find the attachment

Answer 2

$If \: the \: radius \:of \:a \: cylinder \: increased\\by \:25\% \: and \: it's \: height \:remains\\ unchanged \: then \: Volume \: will \\increase \: by : \Big( 2x + \frac{x^{2}}{100}\Big) \%$

$Here ,\: x = 25\%$

$Increase \: percentage \: in \: volume \\= \Big( 2\times 25 + \frac{25^{2}}{100}\Big) \\= 50 + \frac{625}{100} \\= 50 + 6.25 \\= 56.5\%$

Therefore.,

$\red { Increase \: percentage \: in \: volume}\\\green {= 56.5\% }$

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