73. The heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4. Find the ratio of their volumes.
A.32 B. 23
C.5 D.None
Answer:
Let the radii of their bases be r and R and their heights be h and 2h respectively.
Then,(2Õr/2ÕR)=(3/4) Þ R=(4/3)r. Ratio of volumes = (((1/3)Õr2h)/((1/3)Õ(4/3r)2(2h)))=9 : 32.
