Combination of Solids Solution8





In this page combination of solids solution8 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

Question 8:

A solid sphere of diameter 6 cm is dropped into a right circular cylindrical vessel with diameter 12 cm,which is partly filled with water, If the sphere is completely submerged in water,how much does the water level in the cylindrical vessel.

Solution:

Diameter of sphere = 6 cm

Radius of sphere = 3 cm

diameter for cylindrical vessel = 12 cm

Radius of cylindrical vessel = 6 cm

 Volume of water level 

increased in the cylindrical tank = Volume of sphere dropped into the vessel

             Π r² h = (4/3) Π r³ 

             r² h = (4/3) r³

            (6)²(h) = (4/3) (3)³

            6 x 6 x h = (4/3) x 3 x 3 x 3

             h = (4/3) x 3 x 3 x 3/(6 x 6)

             h = (4)/(2 x 2)

             h = 1 cm

Therefore increased water level is 1 cm

combination of solids solution8  combination of solids solution8