Question

A sphere of diameter 5 cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of the vessel is 10 cm. If the sphere is completely submerged, by how much will the level of water rise?

Answer 1

Answer:

The level of water will raise in the vessel is  ⅚  cm.

Step-by-step explanation:

SOLUTION :  

Given :  

Diameter of the sphere = 5 cm

radius of the sphere ,r  = d/2 = 5/2 cm

Diameter of the cylindrical vessel = 10 cm

Radius of the cylindrical vessel ,R = 10/2 = 5 cm

Let h cm be the level of water rise.

When the sphere is completely submerged into the vessel, the level of water will be raise.Therefore,

Volume of the water raised in the cylindrical vessel = Volume of the sphere

πR²h = 4/3 × πr³

5² × h = 4/3 × (5/2)³

25 × h = 4/3 × 125/8

h = 4 × 125/ (25 × 3 × 8)

h = ⅚ cm

Hence, the level of water raised in the vessel is  ⅚  cm.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

hey mate i have given you the right answer so plzzz mark me as brainliest plzzzzzz