Question Number 91500 by kikomssn@gmail.com last updated on 01/May/20
$${v}=\pi\int_{\mathrm{1}} ^{\mathrm{4}} \left[\left(\frac{\mathrm{1}}{\mathrm{4}}.{x}^{\mathrm{2}} \right)^{\mathrm{2}} {dx}\right. \\ $$
Commented by john santu last updated on 01/May/20
$$=\:\frac{\pi}{\mathrm{16}}×\frac{\mathrm{1}}{\mathrm{5}}×\left(\mathrm{4}^{\mathrm{5}} −\mathrm{1}\right) \\ $$$$=\:\frac{\mathrm{1023}\pi}{\mathrm{80}} \\ $$