Question

cylinder, a cone and a hemisphere are of same base and same height. The ratio of their volume is :

Answer 1

Given volume of cone = 1/3 π r^2 h

         volume of hemisphere = 2/3 π r^3

         volume of cylinder = π r^2 h

Now we have h = r since they are equal

 volume of cylinder = π r^2 x r

volume of cone = 1/3 π r^2 x r

volume of hemisphere = 2/3 π r^3

π r^3 : 1/3 π r^3 : 2/3 π r^3

1 : 1/3 : 2/3   or 3 : 1 : 2 is the ratio