$\pi$The height of a cylinder is 14 cm and its curved surface area is 264 cm2. The volume of the cylinder is

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396 cm3 Curved surface area of the cylinder =2pi"rh" =2xx22/7xx"r"xx14 Therefore, 2xx22/7xx"r"xx14 = 264 => "r" =$\frac{264}{88}$ $\Rightarrow$ r = 3 cm Hence, the volume of the cylinder =2pi"rh" =2xx22/7xx14xx"h" Therefore 2 $\times$ $\frac{22}{7}$ xx 14 xx "h" = 1760 => "h" = $\frac{1760}{88}$ "cm" $\Rightarrow$ h = 20 cm Hence, the height of the cylinder is 20 cm.

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