A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of cylinder to cone is 4:3, the ratio of their volume is
4:1
Let Radius of the conical dome = Radius of the cylindrical pillar = r
Let the height of the cylindrical pillar and conical dome be hcylinder and hcone respectively.
Given, hcylinder:hcone=4:3
Let hcylinder=4x then hcone=3x
∴ Ratio of their volume =Volume of the cylindrical pillarVolume of the conical dome=πr2hcylinder13πr2hcone
=πr2×413πr2×3
=4:1