The ratio of the curved surface area and total surface area of a cylinder is 2 : 5. If the total surface area is 3080 cm2, then what is the volume (in cm3) of the cylinder?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 4312√6
CSA/TSA = 2/5
2πrh/2π(r + h) = 2/5
5h = 2r + 2h
3h = 2r
h = 2r/3
TSA = 3080 cm2
2π(r + h) = 3080
2 × 22/7 × 5r2/3 = 3080
r2 = 294
r = 7√6
h = 2 × 7√6/3 = 14√6/3
Volume = πr2h = 22/7 × 294 × 14√6/3 = 4312√6 cm3