Book Maths Puzzle

A vessel is in form of a inverted cone. Its height is 11 cm and the radius of its top which is open is 2.5 cm. It is filled with water up to the rim. When lead sorts, each of which is a sphere of radius 0.25 cm are dropped into the vessel, 2/5 of water flows out. Find the number of lead sorts dropped into the vessel.

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Book Other Question

The length of a rectangular floor is 3m more than its breadth. If the numerical values of the area and perimeter are equal then form an equation for breadth x. Also find the dimensions of the floor A sperical ball of radius 7cm is kept on the floor. It is to be covered by a right cylinder open at one end. Find the volume and the surface area of the cylinder if the cylinder just covers the ball