Question

A sphere of radius $6cm$ is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is $8cm$. If the sphere is Submerged completely, then the surface of the water rises by

• A. $4.5cm$
• B. $4cm$
• C. $3cm$
• D. $2cm$

Answer 1

The correct option is A $4.5cm$

Let the raise of water be $h$
Volume of a sphere of radius 'r' $=\frac{4}{3}\pi r^3$
Volume of a Cylinder of Radius "R" and height "h" $=\pi R^{2}h$
The volume of water risen $=$ Volume of the sphere
$=>\pi \times 8^2\times h=\frac{4}{3}\pi \times 6^3$
$h=\frac{9}{2}=4.5cm$