13 please solve it Q.(13) The ratio of volumes of two cones is 4 : 5 and the ratio of the radii of their bases is 2 : 3. Find the ratio of their vertical heights. Share with your friends Share 0 Neha Sethi answered this Dear student Given:Ratio of volumes(V1:V2)=4:5Ratio of bases (R1:R2)=2:3To find: Ratio of vertical heights, i.e H1 and H2 heights of cone We know that Volume of cone=13πr2h , where h is the height of cone.Consider, V1V2=13πR12H113πR22H245=13π22H113π32H245=4H19H2H1H2=95 Regards 0 View Full Answer Sneha Shetty answered this Octavot isnot visible -2 Sneha Shetty answered this Sorry it is not visible -2 Tabassum Hussain answered this i think this is the answer ratio of volume is 4:5 ratio of radii is 2:3 (R =2 , r = 3) now V/v = [1/3 pie R2 H ] / 1/3 pie r2 h 4/5 =(R)2H / r2 h 4/5 = 4H / 9h H/h = 9/5 H:h = 9:5 1
