Q. 335.0( 4 Votes )

150 spherical mar

Answer :

Given:


Diameter of spherical marbles, d1 = 1.4 cm


r1 = d1/2 = 0.7 cm


Number of marbles = 150


Diameter of cylindrical vessel, d2 = 7 cm


r2 = d2/2 = 3.5 cm


Let the height of the water that rose when 150 marbles are dropped in the vessel = h


i.e. Volume of 150 marbles = volume of water that rose by height ‘h’ inside the vessel


We know that volume of sphere = (4\3) πr3 and volume of cylinder = πr2h



50 (4) (0.7)3 = (3.5)2 h


200 (0.343) = (12.25) h


68.6/12.25 = h


h = 5.6


The rise in the level of water in the vessel is 5.6 cm.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
All GrammarAll GrammarAll Grammar41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses