A cylindrical container having a radius of 5 cm is filled with water to a height of 10 cm. If a solid metal sphere of radius 3 cm is fully submerged in the water, by how much does the water level rise?
Show answer & explanation
Correct answer: D
Explanation
Given:
Radius of cylinder = 5 cm
Radius of sphere = 3 cm
By formula:
Volume of sphere = (4/3)πr³
Volume for height h added to cylinder = πR²h
Volume of sphere = (4/3)π × 3³ = 36π
π × 5² × h = 36π
25h = 36
h = 36/25
h = 1.44
The water level will rise by 1.44 cm.