Question

Sushant has a vessel, of the form of an inverted cone, open at the top, of height 11 cm and
radius of top as 2.5 cm and is full of water. Metallic spherical balls each of diameter 0.5 cm are
put in the vessel due to which 2/5th of the water in the vessel flows out. Find how many balls
were put in the vessel. Sushant made the arrangement so that the water that flows out irrigates
the flower beds. What value has been shown by Sushant?

Answer 1

See the attachment for detail solution
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Answer 2

ANSWER

Let 'n' be the no. of balls

2/5 volume of cone = volume of spherical balls * n

2/5*1/3*pi*2.5*2.5*11 = n*4/3*pi*0.5/2*0.5/2*0.5/2

After solving we get the answer as 440 balls