Question

# A cone, a hemisphere and a cylinder stand on equal bases and have the same height the ratio of their volume is

Solution

## Bases of a cone, hemisphere and a cylinder are same Let radius of each = r  and height of each = r ∴ Volume of cone =13πr2×r=13πr3   Volume of hemisphere =23πr3  and volume of cylinder=πr2(r)=πr3 ∴ ratio in their volumes =13πr3:23πr3:πr3=13:23:1=1:2:3   MathematicsRD SharmaStandard IX

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