The height of a cylinder is 14 cm and its curved surface area is $264 cm^(2)$. The volume of the cylinder is A. $308 cm^(3)$ B. $396 cm^(3)$ C. $1232 cm^(3)$ D. $1848 cm^(3)$
Correct Answer - B Here h = 14 cm and $2pi rh = 264 cm^(2)$ $:. 2 xx (22)/(7) xx r xx 14 = 264 rArr r = (264)/(88) = 3 cm$ $:.$ volume $= pi r^(2)h = ((22)/(7) xx 3 xx 3 xx 14) cm^(3) = 396 cm^(3)$