If the volume of two right circular cones are in the ratio 4 : 1 and their diameter are in the ratio 5 : 4, then the ratio of their height is:
Answer & explanation
Correct answer: option 3
Volume : 4 : 1
Radius: 5 : 4 (ratio of diameter = ratio of radius)
Radius2 : 25 : 16
Ratio of height = \(\frac{Vol._1}{R^2}\) : \(\frac{Vol._2}{r^2}\)
Height : \(\frac{4}{25}\) : \(\frac{1}{16}\) = 64 : 25