800cm3 of water is poured into an inverted right conical vessel and the water level is 6cm. How much more water has to be added to the vessel such that the water level becomes 9cm?

Question

800cm3 of water is poured into an inverted right conical vessel and the water level is 6cm.  How much more water has to be added to the vessel such that the water level becomes 9cm?

Reiny · Answer

The volume of two similar shapes is proportional to the cube of their corresponding sides so ... V/800 = 9^3 6^3 V = 800(729/216) = ....