Question

A conical vessel, whose internal radius is $12$ cm and height $50$ cm, 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.

Answer 1

Vol. of cone $=$ Vol. of cyl.

$\Rightarrow \frac{\pi }{3}\times (12{)}^2\times 50=\pi \times (10{)}^2\times h$

$\Rightarrow 48\times \frac{50}{100}=h$

$\Rightarrow h=24cm$