Question
A conical vessel , whose internal radius is 12 cm and height 50 cm , is full of liquid . The content are emptied a cylindrical vessel with internal radius 10 cm . Find the height to which the liquid rises in the cylindrical vessel. .
Answer: Option A
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Volume of he liquid in the cylindrical vessel
= Volume of the conical vessel
= `(1/3 xx 22/7 xx 12 xx 12 xx 50) cm^3`
= `((22 xx 4 xx 12 xx 50)/(7)) cm^3`
Let the height of the liquid in the vessel be h.
Then, `22/7 xx 10 xx 10 xx h = (22 xx 4 xx 12 xx 50)/(7)`
or h = `((4 xx 12 xx 50)/(10 xx 10))` = 24 cm.
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