A vessel is in the form of an inverted cone. Its height is and the radius of its top, which is open, is It is filled with water up to the brim. When lead shots, each of which is a sphere of radius are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
Height of cone
Radius of cone
Radius of sphere
Step 2: Find the volume of a cone.
The volume of water Volume of a cone
The volume of water that flows out(total volume of water)
Step 3: Find the volume of the sphere.
The volume of each sphere
Step 4: Find the number of lead shots.
Let the number of lead shots be
Hence, the number of lead shots are