The volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 4. What is the ratio of their heights? Choose the correct answer.
A) A)2:5	B) B)2:7	C) C)2:2	D) D)2:1	E) E)4:3
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/(4)2h2   =&gt; h1/h2 = 4/3   i.e. h1 : h2 = 4 : 3   Answer: 4:3
<result>E</result>
The volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 4. What is the ratio of their heights?