|A) 3:2||B) 2:3|
|C) 5:7||D) 7:5|
Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.
Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And, height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.