A metal sphere is dropped into a cylindrical container of diameter 20 cm partially filled with water. If the water rises by 1.5 cm, what is the radius of the sphere?
Show answer & explanation
Correct answer: C
Explanation
Given:
Diameter of cylinder = 20 cm
Radius of cylinder = 10 cm
Rise in water level = 1.5 cm
By formula:
Volume of sphere = Volume of increased water
(4/3)πr³ = πR²h
(4/3)πr³ = π × 10² × 1.5
(4/3)πr³ = 150π
r³ = (150 × 3) / 4
r³ = 112.5
r = ∛112.5
r = 4.8 cm