Given: For the metal sphere,
diameter (d) = 2 cm
For the cylindrical glass, diameter (D) =14 cm,
height of water in the glass (H) = 30 cm
To find: Volume of water in the glass.
Let the radii of the sphere and glass be r and R respectively.
Volume of water with sphere in it = πR2 H
= π × (7)2 × 30
= 1470π cm3
Volume of water in the glass = Volume of water with sphere in it – Volume of sphere
∴ The volume of the water in the glass is 1468.67 π cm3 (i.e. 4615.80 cm3 ).