The volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 3. What is the ratio of their heights?
Pick:	A) A)3:4	B) B)2:7	C) C)2:2	D) D)2:1	E) E)2:9
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; 1/12 = (1)2h1/(3)2h2   =&gt; h1/h2 = 3/4   i.e. h1 : h2 = 3: 4   3:4nswer: 3:4
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The volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 3. What is the ratio of their heights?