The radii of two cones are in ratio 2:1, their volumes are equal. Find the ratio of their heights. Choose the correct option
A) 1:4
B) 1:3
C) 1:2
D) 1:5
E) None of these
Explanation:   Let their radii be 2x, x and their heights be h and H resp.   Then,   Volume of cone =1/3πr2h   1/3∗π∗(2x)2∗h /1/3∗π∗x2∗H   =&gt;hH=14   =&gt;h:H=1:4   Option 1:4
<result>A</result>
The radii of two cones are in ratio 2:1, their volumes are equal. Find the ratio of their heights.