Question

If a marble of radius $2.1cm$ is put into a cylindrical cup, full of water, of radius $5cm$ and height $6cm$, then the volume of water that flows out of the cup is ________.

Answer 1

The radius of the marble, $r=2.1cm$
Now,
The volume of water that flows out of the cylindrical cup
= Volume of the marble
$=\frac{4}{3}\pi r^3=43\times 227\times 2.13=38.808c{m}^3$
If a marble of radius $2.1cm$ is put into a cylindrical cup, full of water, of radius $5cm$ and height $6cm$, then the volume of water that flows out of the cup is __38.808 cm³__.