Question

A vessel is in the form of an inverted cone. its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-forth of the water flows out. Find the number of lead shots dropped in the vessel.

Answer 1

Height of the conical vessel (h) = 8 cm

Base radius (r) = 5 cm

Since, Volume of the cone = [Volume of water in the cone]

[Volume of water in the cone] = 4400/21 cm³

Now, Total volume of lead shots = 1/4 of [Volume of water in the cone]

Since, radius of a lead shot (sphere) (r) = 0.5 cm

Volume of 1 lead shot

Number of lead shots

Thus, the required number of lead shots = 100.