The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 cm2, then what is the volume (in cm3) of cylinder ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 269500.
C.S.A = 2πrh
Total area of two bases = 2πr²
Ratio = 2πrh/2πr² = h/r = 2/1 (given)
h = 2r
T.S.A = 23100
2πr(r + h) = 23100
6πr² = 23100
r = 35
Volume = πr2h = 2πr3 = 269500