Multiple choice

Radius of a cone is decreased by 40% whereas its height is decreased by 50%. Find the ratio of their volumes. शंकु के त्रिज्या में 40% की कमी की गयी जबकि इसकी ऊंचाई में 50% की कमी की गई है। उनके आयतन का अनुपात ज्ञात कीजिये।

  1. 25:4

  2. 50:9

  3. 27:8

  4. 51:25

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original volume of cone = (1/3)πR²H. After 40% decrease, new radius = 0.6R. After 50% decrease, new height = 0.5H. New volume = (1/3)π(0.6R)²(0.5H) = (1/3)π(0.18R²H). Therefore ratio original:new = 1:0.18 = 50:9. The calculation correctly applies the percentage decreases to both dimensions.