Correct Answer - Option 1 : 26%
Given
Height of cone increased by 26 %
Formula used
Volume of cone = (1/3)πr2h
Where r and h are radius and height of a cone respectively
Calculation
Let height is 100 units and increased height is 126 units
Old volume of a cone = (1/3)πr2100 cu. units
New volume of a cone = (1/3)πr2(126) cu. units
Change in volume = 126πr2/3 - 100πr2/3
⇒ 26πr2/3 cu.units
Percentage of increase in volume = {[(26πr2/3)]/[(100πr2/3)]} × 100
⇒ [(26πr2/3) × (3/100πr2] × 100
⇒ 26%
∴ Volume of cone increased by 26%.
