Q7 of 32 Page 267

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


Given that, radius(r) of cone is 5 cm and height(h) is 8 cm.And, radius(R) of spheres is 0.5 cm.


Also, When lead shots are dropped into the vessel, of the water flows out.


⇒ vol. of water in cone




⇒ vol. of 1 spherical lead shot




⇒ (vol. of water in cone) = n × vol. of 1 lead shot


(where, n is no. of lead shots)




⇒ n = 100


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