A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottoms. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.
Given: radius of circular cone (r) = 60 cm
Height of a cone (l) = 120 cm
Volume of a cone = 
πr2 l
= 
π(60)2(120) cm …….. (1)
Volume of a hemisphere = 
Given radius of hemisphere = 60 cm
……………. (2)
Radius of cylinder (r) = 60 cm
Height of cylinder (h) = 180 cm
Volume of cylinder = 
h
= π(60)2(180) cm3 ……… (3)
Volume of water left in cylinder = eq.(3) – eq.(1) + eq.(2)
= 113.1 cm3= 1.131m3
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