Question

# A solid cylinder is melted and cast into a cone of same radius.The heights of the cone and cylinder are in the ratio1:3 9:1 1:9 3:1

Solution

## The correct option is D 3:1 Let r be the radius and h be the height of cylinder, then volume=πr2h Now volume of cone=πr2h and r is the radius. ∴ Height (h′)=Volume×3πr2=πr2h×3πr2=3h∴ Ratio between their heights=3h:h=3:1

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