1. if the ratio of the volumes of two right circular cones is 2:3 and the ratio of the radii of their bases is 1:2, then the ratio of their heights will be
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By: anil on 05 May 2019 02.25 am
Let the heights of the two cones respectively be $$h_1$$ and $$h_2$$ Let their radii be $$r$$ and $$2r$$ respectively. Thus, volume of cone = $$frac{1}{3} pi r^2h$$ According to ques, => $$frac{frac{1}{3}pi r^2h_1}{frac{1}{3}pi (2r)^2h_2}=frac{2}{3}$$ => $$frac{h_1}{4h_2}=frac{2}{3}$$ => $$frac{h_1}{h_2}=frac{8}{3}$$ => Ans - (B)
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