5. 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-fourth of
the water flows out. Find the number of lead shots
dropped in the vessel.
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Radius of cone =5cm
Height of cone =8cm
Radius of sphere=0.5cm
Volume of cone is,
=31πr2h
=31π×52×8
=3200πcm3
Volume of lead shot =34πr3
=34π×0.53
=61πcm3
∴ number of lead shots =3200π×41÷61π
=350π×π6
=100
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