Question

The CSA of a cylinder is 4400 cm and the circumference of its base is 110 cm. Find the volume of cylinder.

Answer 1

CSA =2×pi×r×h=4400cm
110cm=2×pi×r
Substitute in first equation
110h=4400
h=4400/110=40
V=pi×r2×h
Solve by yourself

Answer 2

CSA of cylinder =4400(2πrh=4400)...........(1)
circumference of circle =110.........................(2)
2πr=110
putting the equation (2) in (1)
2πrh=4400
110×h=4400
h=4400÷110
h=40
again putting h=40
in equation (1)
2πr×40=4400
2×22/7×40×r=4400
1760/7×r=4400
1760×r =4400×7
1760×r=30800
r=30800/1760
r=17.5

volume of cylinder =πr²h
=22/7×(17.5)²×40
=880/7×306.25
=269500/7
=38500 cm³