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A conical vessel of radius 6cm and heigh...

A conical vessel of radius 6cm and height 15 cm is completely filled with water.A sphere bis lowered into the water and its size is such that when it touches the sides it is just immersed.What fraction of water overflows ?

Text Solution

Verified by Experts

`AB^2=AE^2+BE^2`
`AB^2=8^2+15^2=64+225=289`
`AB=17`
`sintheta=8/17=4/(15-r)`
`8(15-r)=17r`
`25r=120`
`r=24/5`
Volume of cone=`1/3pi8^2*15`
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