# The area of the base of right cylinder is 154 and its height is 15 cm Find the volume of the cylinder

Solution)

Area of base of a right cylinder = ${\mathrm{\pi r}}^{2}$

$154=\frac{22}{7}{r}^{2}\phantom{\rule{0ex}{0ex}}or\phantom{\rule{0ex}{0ex}}{r}^{2}=\frac{154\times 7}{22}=7\times 7\phantom{\rule{0ex}{0ex}}r=7cm\phantom{\rule{0ex}{0ex}}Now,Volumeofcylinder={\mathrm{\pi r}}^{2}\mathrm{h}=\frac{22}{7}\times {7}^{2}\times 15=22\times 7\times 15=2310{\mathrm{cm}}^{3}$

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