Question
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?
Answer: Option A
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The volume of the cone = (1/3)Ï€r2h Only radius (r) and height (h) are varying.Hence, (1/3)Ï€ may be ignored. V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2 => h1/h2 = 2/5 i.e. h1 : h2 = 2 : 5
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