Curved surface area of a cylinder is 440 sq cm. If circumference of its base is 44 cm, what is the volume of the cylinder? (Take π=22/7)
- A1540 cubic cm
- B3080 cubic cm
- C770 cubic cm
- D2310 cubic cm
Solution & Step-by-step Explanation
Let r be the radius of the base and h be the height of the cylinder.
The circumference of the base is given as:
2πr=44 cm
2×
7
22
×r=44
7
44
×r=44
r=7 cm
The curved surface area (CSA) of the cylinder is given as:
CSA=2πrh=440 sq cm
Since 2πr=44:
44×h=440
h=10 cm
The volume (V) of the cylinder is given by:
V=πr
2
h
V=
7
22
×7×7×10
V=22×7×10=1540 cubic cm
The circumference of the base is given as:
2πr=44 cm
2×
7
22
×r=44
7
44
×r=44
r=7 cm
The curved surface area (CSA) of the cylinder is given as:
CSA=2πrh=440 sq cm
Since 2πr=44:
44×h=440
h=10 cm
The volume (V) of the cylinder is given by:
V=πr
2
h
V=
7
22
×7×7×10
V=22×7×10=1540 cubic cm