"The radii of two cones are in the ratio 2:1 and their volumes are equal. What is the ratio their heights ?" Experts, I have solved this question and attached it's image below so could you please check if it is right ? Thanks a lot for your help.

Solution:Let the radius be r and R ; and heights be h and H; also volume be v and V.Volume of cone=13πr2hv=13πr2hAnd, V=13πR2HGiven, v=V13πr2h=13πR2HhH=R2r2=Rr2=212=41Your solution was correct but had some minor mistake.For such question always take separate variables.

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