Question

please solve this problem ​

Answer 1

step by step solution:

= here, given volume of two cones =1:4

and diameter=4:5

height= ?

Now, solution;

V1/V2=1/3πr1² h1/ 1/3πr2² h2= 1/4••••••••(1)

D1/D2=2r1/2r2=4/5•••••••(2)

now by simplifying eq (1) as

(R1/R2)² h1/h2=1/4

now , similarly by using eq (2)

(4/5)²×h1/h2=1/4

so, h1/h2=1/4×25/16

therefore, h1/h2=25/64

hence, ratio of their height = 25:64. Ans

hope it you dear friend!!!