Curved surface area of a cylinder is 1760sq cm. If the circumference of its base is 88cm, find the volume of the cylinder.

Let the radius of the cylinder base be r and its height be h.
The circumference of the base is given as 88cm:

2πr=88
2×
7
22
​
×r=88
7
44
​
×r=88⟹r=2×7=14cm
The curved surface area (CSA) of the cylinder is given as 1760sq cm:

CSA=2πrh=1760
Since 2πr=88:

88×h=1760
h=
88
1760
​
=20cm
Now, calculate the volume (V) of the cylinder:

V=πr
2
h
V=
7
22
​
×14×14×20
V=22×2×14×20
V=44×280=12320cm
3

Thus, the volume of the cylinder is 12320cubic cm.