15. A conical vessel, whose internal radius is 12 em and height 50 em, is full of liquid. The contents
are emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the
liquid rises in the cylindrical vessel.
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Answer:
Volume of conical vessel =
3
1
πr
2
h=
3
1
×3.74×1×10×48=5024cm
3
Let height of cylindrical vessel be 'h' then
⇒ Volume of cylindrical vessel = Volume of water
⇒πr
2
h=5024⇒3.14×(20)
2
×h=5024⇒h=4cm
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