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A solid consisting of a right circular cone of height 130 cm and radius 60 CM standing on a hemisphere of radius 60 CM. it is placed upright in a right circular cylinder full of water such that it touches the bottom. find the volume of water left in the cylinder if the radius of the cylinder is 60 cm and its height is 180 cm.
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Volume of cone =1/3×22/7×60×60×130
Volume of hemisphere=2/3×22/7×60×60×60
Total volume of solid=1/3×22/7×60×60(130+120)
= 22/7×1200(250) =26400/7 ×250=37.71×1000=37710
Volume of cylinder= 22/7×60×60×180= 3600×3960/7= 2036570
Thus, required volume of water left = 2036570 -37710= 1898860
Volume of hemisphere=2/3×22/7×60×60×60
Total volume of solid=1/3×22/7×60×60(130+120)
= 22/7×1200(250) =26400/7 ×250=37.71×1000=37710
Volume of cylinder= 22/7×60×60×180= 3600×3960/7= 2036570
Thus, required volume of water left = 2036570 -37710= 1898860
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