The curved surface area of a right circular cylinder is $176$ sq cm and its volume is $1232$ cu cm. What is the height of the cylinder?

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Step 1: Let $h$ be the height of cylinder
CSA of cylinder $= 176 \Rightarrow 2\pi rh = 176$ ... (i)
Volume of cylinder $= 1232 \Rightarrow \pi r^2 h = 1232$
Step 2: On dividing: $\frac{\pi r^2 h}{2\pi rh} = \frac{1232}{176}$
We get $r = 14$ cm
Step 3: $	herefore$ (i) $\Rightarrow 2 	imes \frac{22}{7} 	imes 14^2 	imes h = 176$
$\Rightarrow h = 2$ cm

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