A sphere of 6, cm diameter is dropped intocylindrical vessel of diamet

1.	A sphere of 6, cm diameter is dropped intocylindrical vessel of diameter 12 cm. Find therise in water in vessel.
Answer» diameter of the sphere ( d ) = 6cm radius of the sphere ( r ) = d/2 = 6/2 = 3cm diameter of the cylindrical vessel ( D ) = 12 cm radius of the cylindrical vessel ( R ) = 12/2 = 6 cm level of water raised = h cm according to the problem given , volume of the water raised in the vessel = volume of the sphere πR²h = 4/3×πr³ h = ( 4× r³ ) / ( 3× R² ) h = ( 4× 3× 3× 3 ) / ( 3× 6× 6 ) h = 1 cm Therefore , level of water raised in the vessel = h = 1 cm

A sphere of 6, cm diameter is dropped intocylindrical vessel of diameter 12 cm. Find therise in water in vessel.

Answer»

diameter of the sphere ( d ) = 6cm

radius of the sphere ( r ) = d/2 = 6/2 = 3cm

diameter of the cylindrical vessel ( D ) = 12 cm

radius of the cylindrical vessel ( R ) = 12/2 = 6 cm

level of water raised = h cm

according to the problem given ,

volume of the water raised in the vessel = volume of the sphere

πR²h = 4/3×πr³

h = ( 4× r³ ) / ( 3× R² )

h = ( 4× 3× 3× 3 ) / ( 3× 6× 6 )

h = 1 cm

Therefore ,

level of water raised in the vessel = h = 1 cm