A conical vessel whose internal radius is 10 cm and height 48 cm is full of water. Find the volume of water. If this water is poured into a cylindrical vessel with internal radius 20 cm, find the height to which the water level rises in it.
Radius of conical vessel r = 10 cm
Height of conical vessel h = 48 cm
The volume of water = volume of conical vessel.
$=\frac{1}{3} \pi r^{2} h$
$=1600 \pi \mathrm{cm}^{3}$
$=1600 \times 3.14$
$=5024 \mathrm{~cm}^{3}$
Let h' be the height of cylindrical vessel, which filled by the water of conical vessel,
Radius of cylindrical vessel = 20 cm
Clearly,
Volume of cylindrical vessel = volume of water
$\pi \times(20)^{2} \times h=1600 \pi$
$h=4 \mathrm{~cm}$
Thus, the volume of the cylindrical vessel and height of cylindrical vessel are $5024 \mathrm{~cm}^{3}$ and $4 \mathrm{~cm}$ respectively.