Question

the lateral surface area of a cylinder of length 14 m is 220 msquare find the volume of the cylinder

Answer 1

LSA=2*pi*r*h   (by putting values
220=88r
220divided by 88=r
r=2.5
 
now,volume of cylinder=pi*r2*h
                                    =22/7*(2.5)sq*14
                                    = 275 is the answer.......

Answer 2

Given height , h = 14 , let radius be r
Lateral Surface area of Cylinder = 2πrh = 220
2 * (22/7) * r * 14 = 220
r = 5/2 = 2.5m
Now, Volume of cylinder = πr2h = (22/7) * (2.5)2 * 14 = 44 * 6.25 = 275 m3