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A solid right circular cone of height 12...

A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder full of water of height 180 cm such that it touches the bottom Find the volume of water left in the cylinder if the radius of the cylinder is equal to the radius to the cone.

Text Solution

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Volume of cylinder=`pir^2h`
`22/7*60^2*180`
Volume of cone=`22/7*60^2*120/3`
Volume of water=volume of cylinder-volume of cone
`=22/7*3600*180-22/7*3600/3*120`
`=158400cm^3`
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