Curved surface area of a cylinder is 528sq cm. If the circumference of its base is 44cm, find the height of the cylinder.

Let the radius of the cylinder be r and its height be h.
The formula for the circumference of the base is:

Circumference=2πr=44cm
The formula for the curved surface area (CSA) of a cylinder is:

CSA=2πrh=528sq cm
We can substitute the value of the circumference (2πr=44) directly into the CSA formula:

44×h=528
h=
44
528
​

Simplifying this gives:

h=12cm