The volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?  Choose the correct option:
A) 8:5	B) 8:9	C) 2:2	D) 8:2	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; 1/40   = (1)^2h1/(2)^2h2   =&gt; h1/h2 = 8/5   i.e. h1 : h2 = 8:5   8:5nswer: 8:5
<result>A</result>
The volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?