Question

A cylindrical bowl with base diameter 7 m contains water. A solid sphere is dropped into it. The water level increases by 14/3 m. Find the radius of the sphere.

Answer 1

Answer:

3.5m

Step-by-step explanation:

diameter = 7m

radius of cylinder = diameter÷2 = 7÷2 = 3.5m

now according to question,

volume of original cylinder + volume of sphere dropped = new volume of cylinder

pi r² h + 4/3 pi R³ = pi r² (h+14/3)

on substitution and solving, R = Radius of sphere dropped = 3.5m