If the area of the base of a cone is increased then it becomes 1.96 times oforiginal area. If the volume is increased by :
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 96%.
Let the original area of the base of a cone be 100 as it increased by 1.96 times so the new area will be 1.96 of 100 = 196
area of the base of a cone = πr2
⇒ πR2/πr2 = 100/196
⇒ R/r = 10/14 = 5/7
volume of cone = πr2h/3
original volume = 25πh/3
New volume = 49πh/3
Percent increase in volume = 24 × 100/25 = 96%