The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire? Pick one:
A) 2 : 5 B) 1 : 5 C) 3 : 5 D) 4 : 5 E) None of these
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 = r12h1/r22h2 =&gt; 1/10 = (1)2h1/(2)2h2   =&gt; h1/h2 = 2/5   i.e. h1 : h2 = 2 : 5   2 : 5NSWER:2 : 5
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The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?