The curved surface area of a cylinder is $264{\text{cm}}^2$ and its volume is $924{\text{cm}}^3$. Find its height in cm. Take π = 22/7.

Divide volume by curved surface: π$r^{2}h÷2$π$rh=r/2$, so $r/2=924/264=3.5$ and $r=7$ cm. Then $2\times (22/7)\times 7\times h=44h=264$, giving $h=6$ cm. (7 cm is the radius, and 3.5 cm is the half-radius thrown up on the way — neither is the height asked for.)