Let V1​ be the volume of first cone and v2 be the volume of second cone.Then, V1​:V2​=1.:4 (Given) ...(2)Let h1​ be the height of first cone and h2​ be the height of second cone.We know that, volume of cone =v=31​ π (4d2​)hV2​V1​​= 31​π4d22​​h2​21​π4d12​​h1​​ V2​V1​​= d22​h2​d12​h1​​ 41​=  d22​h2​d22​h1​​ (from (1) ) 41​= (d2​d1​​ )2×h2​h1​​ 41​= (54​ )2×h2​h1​​  h2​h1​​=6425​Using equation (2) Therefore, ratio of height of two cones is 25:64.