A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?
4:1
Given that, the ratio of the height of the pillar to that of dome is 4:3 .
⇒hcylinderhcone=43
We know that,
volume of cylinder=πr2h.
volume of cone=13πr2h.
Now, ratio of volume of cylinder to the volume of cone
=πr2hcylinder13πr2hcone
=πr2×413πr2×3
=41
=4:1