The volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Options.
A) 4:5
B) 4:9
C) 4:2
D) 5:2
E) 2:8
The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r1^2 . h1/r2^2. h2 =&gt; 1/20   = (1)^2h1/(2)^2h2   =&gt; h1/h2 = 4/5   i.e. h1 : h2 = 4:5   4:5nswer: 4:5
<result>A</result>
The volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?