Answer:
The rise in liquid is [tex]4.33-3 = 1.33 cm[/tex]
Explanation:
Volume of the given marble can be found out using the formula for volume = [tex]4/3 \pi r3[/tex]
Radius is given as 3/2 cm
[tex]4/3 \times 22/7 \times 3/2 \times 3/2 = 66/7 cm3= 9.42[/tex]
Now if the graduated cylinder has same diameter and the level of liquid is 3 cm then volume of cylinder can be calculated by the following formula =[tex]\pi r2h = 22/7 \times 3/2 \times 3/2 \times 3 = 21.21cm[/tex]
When the marble ball completely sinks the new volume is = [tex]21.21 + 9.42 = 30.63[/tex]
The rise in height will be [tex]\pi r2h = 22/7 \times 3/2 \times 3/2 \times h = 30.63[/tex]
[tex]H= 4.33[/tex] so rise in liquid is [tex]4.33-3 = 1.33 cm[/tex]
