The volumes of two cones are in the ratio 1 : 15 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?  Choose one.
A) 3:5 B) 3:9 C) 3:2 D) 2:2 E) 3:8
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; 1/15   = (1)^2h1/(2)^2h2   =&gt; h1/h2 = 3/5   i.e. h1 : h2 = 3:5   3:5nswer: 3:5
<result>A</result>
The volumes of two cones are in the ratio 1 : 15 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?